Table of contents 目次

16×10102+173

c102

name 名前Ignacio Santos
date 日付March 19, 2009 15:24:37 UTC 2009 年 3 月 20 日 (金) 0 時 24 分 37 秒 (日本時間)
composite number 合成数
484848484848484848484848484848484848484848484848484848484848484848484848484848484848484848484848484849<102>
prime factors 素因数
2216835011184651104357370439054681171<37>
218712029719066643999777936156525071087223952004261785269174040619<66>
factorization results 素因数分解の結果
Number: 53339_102
N=484848484848484848484848484848484848484848484848484848484848484848484848484848484848484848484848484849
  ( 102 digits)
SNFS difficulty: 103 digits.
Divisors found:
 r1=2216835011184651104357370439054681171 (pp37)
 r2=218712029719066643999777936156525071087223952004261785269174040619 (pp66)
Version: Msieve-1.39
Total time: 0.22 hours.
Scaled time: 0.26 units (timescale=1.161).
Factorization parameters were as follows:
n: 484848484848484848484848484848484848484848484848484848484848484848484848484848484848484848484848484849
m: 40000000000000000000000000
deg: 4
c4: 25
c0: 68
skew: 1.28
type: snfs
lss: 1
rlim: 380000
alim: 380000
lpbr: 25
lpba: 25
mfbr: 43
mfba: 43
rlambda: 2.2
alambda: 2.2
Factor base limits: 380000/380000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 43/43
Sieved rational special-q in [190000, 230001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 37393 x 37641
Total sieving time: 0.22 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,103,4,0,0,0,0,0,0,0,0,380000,380000,25,25,43,43,2.2,2.2,10000
total time: 0.22 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10110+173

c109

name 名前Ignacio Santos
date 日付March 19, 2009 16:04:41 UTC 2009 年 3 月 20 日 (金) 1 時 4 分 41 秒 (日本時間)
composite number 合成数
6926406926406926406926406926406926406926406926406926406926406926406926406926406926406926406926406926406926407<109>
prime factors 素因数
135086690288448751461631065121489142470928690167339<51>
51273792492932242100515971807088862039055864903322893309013<59>
factorization results 素因数分解の結果
Number: 53339_110
N=6926406926406926406926406926406926406926406926406926406926406926406926406926406926406926406926406926406926407
  ( 109 digits)
SNFS difficulty: 111 digits.
Divisors found:
 r1=135086690288448751461631065121489142470928690167339 (pp51)
 r2=51273792492932242100515971807088862039055864903322893309013 (pp59)
Version: Msieve-1.39
Total time: 0.60 hours.
Scaled time: 0.69 units (timescale=1.141).
Factorization parameters were as follows:
n: 6926406926406926406926406926406926406926406926406926406926406926406926406926406926406926406926406926406926407
m: 10000000000000000000000
deg: 5
c5: 16
c0: 17
skew: 1.01
type: snfs
lss: 1
rlim: 500000
alim: 500000
lpbr: 25
lpba: 25
mfbr: 44
mfba: 44
rlambda: 2.2
alambda: 2.2
Factor base limits: 500000/500000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 44/44
Sieved rational special-q in [250000, 350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 41203 x 41434
Total sieving time: 0.60 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,111,5,0,0,0,0,0,0,0,0,500000,500000,25,25,44,44,2.2,2.2,50000
total time: 0.60 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10112+173

c104

name 名前Ignacio Santos
date 日付March 19, 2009 16:41:09 UTC 2009 年 3 月 20 日 (金) 1 時 41 分 9 秒 (日本時間)
composite number 合成数
64321910863878643972984750803785593219329524248465718103326515801739318258957238451545530070232222106353<104>
prime factors 素因数
10052627114734674217024858005477241449308291<44>
6398517534744581605598630845005091076336770653616769994460283<61>
factorization results 素因数分解の結果
Number: 53339_112
N=64321910863878643972984750803785593219329524248465718103326515801739318258957238451545530070232222106353
  ( 104 digits)
SNFS difficulty: 113 digits.
Divisors found:
 r1=10052627114734674217024858005477241449308291 (pp44)
 r2=6398517534744581605598630845005091076336770653616769994460283 (pp61)
Version: Msieve-1.39
Total time: 0.55 hours.
Scaled time: 0.64 units (timescale=1.153).
Factorization parameters were as follows:
n: 64321910863878643972984750803785593219329524248465718103326515801739318258957238451545530070232222106353
m: 20000000000000000000000
deg: 5
c5: 50
c0: 17
skew: 0.81
type: snfs
lss: 1
rlim: 540000
alim: 540000
lpbr: 25
lpba: 25
mfbr: 45
mfba: 45
rlambda: 2.2
alambda: 2.2
Factor base limits: 540000/540000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 45/45
Sieved rational special-q in [270000, 370001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 53786 x 54015
Total sieving time: 0.55 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,113,5,0,0,0,0,0,0,0,0,540000,540000,25,25,45,45,2.2,2.2,50000
total time: 0.55 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10118+173

c106

name 名前Ignacio Santos
date 日付March 19, 2009 17:38:37 UTC 2009 年 3 月 20 日 (金) 2 時 38 分 37 秒 (日本時間)
composite number 合成数
3616419800496018185554643018778838665393873550895999781300841991930045462239647250842316622568282582267457<106>
prime factors 素因数
2517482123877466831458022023288845848163<40>
1436522534239865706135598288861372125341339035520699265067882825739<67>
factorization results 素因数分解の結果
Number: 53339_118
N=3616419800496018185554643018778838665393873550895999781300841991930045462239647250842316622568282582267457
  ( 106 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=2517482123877466831458022023288845848163 (pp40)
 r2=1436522534239865706135598288861372125341339035520699265067882825739 (pp67)
Version: Msieve-1.39
Total time: 0.85 hours.
Scaled time: 1.01 units (timescale=1.188).
Factorization parameters were as follows:
n: 3616419800496018185554643018778838665393873550895999781300841991930045462239647250842316622568282582267457
m: 400000000000000000000000
deg: 5
c5: 125
c0: 136
skew: 1.02
type: snfs
lss: 1
rlim: 700000
alim: 700000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2Factor base limits: 700000/700000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [350000, 500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 68036 x 68272
Total sieving time: 0.85 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,700000,700000,25,25,46,46,2.2,2.2,50000
total time: 0.85 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10119+173

c106

name 名前Sinkiti Sibata
date 日付March 19, 2009 20:53:59 UTC 2009 年 3 月 20 日 (金) 5 時 53 分 59 秒 (日本時間)
composite number 合成数
9837483574710529484514161171773761501488325082032517410013632145633355081949361660424442639434305788823397<106>
prime factors 素因数
4977605857740139864313943677940325771<37>
1976348440568735697281734967191062750712135499265960643476367149133007<70>
factorization results 素因数分解の結果
Number: 53339_119
N=9837483574710529484514161171773761501488325082032517410013632145633355081949361660424442639434305788823397
  ( 106 digits)
SNFS difficulty: 120 digits.
Divisors found:
 r1=4977605857740139864313943677940325771 (pp37)
 r2=1976348440568735697281734967191062750712135499265960643476367149133007 (pp70)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 2.22 hours.
Scaled time: 1.05 units (timescale=0.471).
Factorization parameters were as follows:
name: 53339_119
n: 9837483574710529484514161171773761501488325082032517410013632145633355081949361660424442639434305788823397
m: 1000000000000000000000000
deg: 5
c5: 8
c0: 85
skew: 1.60
type: snfs
lss: 1
rlim: 720000
alim: 720000
lpbr: 25
lpba: 25
mfbr: 46
mfba: 46
rlambda: 2.2
alambda: 2.2
Factor base limits: 720000/720000
Large primes per side: 3
Large prime bits: 25/25
Max factor residue bits: 46/46
Sieved rational special-q in [360000, 560001)
Primes: RFBsize:58029, AFBsize:58122, largePrimes:1442756 encountered
Relations: rels:1515012, finalFF:240263
Max relations in full relation-set: 28
Initial matrix: 116216 x 240263 with sparse part having weight 10375872.
Pruned matrix : 73227 x 73872 with weight 2689877.
Total sieving time: 2.11 hours.
Total relation processing time: 0.05 hours.
Matrix solve time: 0.04 hours.
Time per square root: 0.02 hours.
Prototype def-par.txt line would be:
snfs,120,5,0,0,0,0,0,0,0,0,720000,720000,25,25,46,46,2.2,2.2,50000
total time: 2.22 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10124+173

c123

name 名前Ignacio Santos
date 日付March 19, 2009 20:44:40 UTC 2009 年 3 月 20 日 (金) 5 時 44 分 40 秒 (日本時間)
composite number 合成数
372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960373<123>
prime factors 素因数
4344103805341820701058553135691460443<37>
85854387849055129411080779368254210843202081626934091049880827926685804285234450918511<86>
factorization results 素因数分解の結果
Number: 53339_124
N=372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960373
  ( 123 digits)
SNFS difficulty: 125 digits.
Divisors found:
 r1=4344103805341820701058553135691460443
 r2=85854387849055129411080779368254210843202081626934091049880827926685804285234450918511
Version: 
Total time: 2.03 hours.
Scaled time: 5.16 units (timescale=2.544).
Factorization parameters were as follows:
n: 372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960373
m: 10000000000000000000000000
deg: 5
c5: 8
c0: 85
skew: 1.60
type: snfs
lss: 1
rlim: 880000
alim: 880000
lpbr: 26
lpba: 26
mfbr: 46
mfba: 46
rlambda: 2.3
alambda: 2.3
Factor base limits: 880000/880000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 46/46
Sieved rational special-q in [440000, 640001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 95005 x 95253
Total sieving time: 2.03 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,125,5,0,0,0,0,0,0,0,0,880000,880000,26,26,46,46,2.3,2.3,50000
total time: 2.03 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10126+173

c91

name 名前Robert Backstrom
date 日付March 19, 2009 17:29:38 UTC 2009 年 3 月 20 日 (金) 2 時 29 分 38 秒 (日本時間)
composite number 合成数
3390485356507728372669909109598783194410042535424399523149281361272522288277422770899198707<91>
prime factors 素因数
77645603363146301434635923149259748641629<41>
43666160215801579806770536601220923608024965501583<50>
factorization results 素因数分解の結果
Fri Mar 20 03:19:19 2009  
Fri Mar 20 03:19:19 2009  
Fri Mar 20 03:19:19 2009  Msieve v. 1.39
Fri Mar 20 03:19:19 2009  random seeds: 01ab27d4 f393454b
Fri Mar 20 03:19:19 2009  factoring 3390485356507728372669909109598783194410042535424399523149281361272522288277422770899198707 (91 digits)
Fri Mar 20 03:19:20 2009  searching for 15-digit factors
Fri Mar 20 03:19:22 2009  commencing quadratic sieve (91-digit input)
Fri Mar 20 03:19:22 2009  using multiplier of 43
Fri Mar 20 03:19:22 2009  using 64kb Opteron sieve core
Fri Mar 20 03:19:22 2009  sieve interval: 18 blocks of size 65536
Fri Mar 20 03:19:22 2009  processing polynomials in batches of 6
Fri Mar 20 03:19:22 2009  using a sieve bound of 1683637 (63529 primes)
Fri Mar 20 03:19:22 2009  using large prime bound of 154894604 (27 bits)
Fri Mar 20 03:19:22 2009  using double large prime bound of 552160384714396 (42-49 bits)
Fri Mar 20 03:19:22 2009  using trial factoring cutoff of 49 bits
Fri Mar 20 03:19:22 2009  polynomial 'A' values have 12 factors
Fri Mar 20 04:18:10 2009  64199 relations (17518 full + 46681 combined from 716708 partial), need 63625
Fri Mar 20 04:18:11 2009  begin with 734226 relations
Fri Mar 20 04:18:11 2009  reduce to 155637 relations in 9 passes
Fri Mar 20 04:18:11 2009  attempting to read 155637 relations
Fri Mar 20 04:18:12 2009  recovered 155637 relations
Fri Mar 20 04:18:12 2009  recovered 132969 polynomials
Fri Mar 20 04:18:13 2009  attempting to build 64199 cycles
Fri Mar 20 04:18:13 2009  found 64199 cycles in 6 passes
Fri Mar 20 04:18:13 2009  distribution of cycle lengths:
Fri Mar 20 04:18:13 2009     length 1 : 17518
Fri Mar 20 04:18:13 2009     length 2 : 12567
Fri Mar 20 04:18:13 2009     length 3 : 11363
Fri Mar 20 04:18:13 2009     length 4 : 8435
Fri Mar 20 04:18:13 2009     length 5 : 5794
Fri Mar 20 04:18:13 2009     length 6 : 3759
Fri Mar 20 04:18:13 2009     length 7 : 2181
Fri Mar 20 04:18:13 2009     length 9+: 2582
Fri Mar 20 04:18:13 2009  largest cycle: 18 relations
Fri Mar 20 04:18:13 2009  matrix is 63529 x 64199 (15.4 MB) with weight 3775271 (58.81/col)
Fri Mar 20 04:18:13 2009  sparse part has weight 3775271 (58.81/col)
Fri Mar 20 04:18:14 2009  filtering completed in 3 passes
Fri Mar 20 04:18:14 2009  matrix is 58990 x 59053 (14.2 MB) with weight 3474411 (58.84/col)
Fri Mar 20 04:18:14 2009  sparse part has weight 3474411 (58.84/col)
Fri Mar 20 04:18:14 2009  saving the first 48 matrix rows for later
Fri Mar 20 04:18:14 2009  matrix is 58942 x 59053 (8.3 MB) with weight 2643233 (44.76/col)
Fri Mar 20 04:18:14 2009  sparse part has weight 1831762 (31.02/col)
Fri Mar 20 04:18:14 2009  matrix includes 64 packed rows
Fri Mar 20 04:18:14 2009  using block size 23621 for processor cache size 1024 kB
Fri Mar 20 04:18:15 2009  commencing Lanczos iteration
Fri Mar 20 04:18:15 2009  memory use: 8.5 MB
Fri Mar 20 04:18:33 2009  lanczos halted after 934 iterations (dim = 58938)
Fri Mar 20 04:18:33 2009  recovered 16 nontrivial dependencies
Fri Mar 20 04:18:34 2009  prp41 factor: 77645603363146301434635923149259748641629
Fri Mar 20 04:18:34 2009  prp50 factor: 43666160215801579806770536601220923608024965501583
Fri Mar 20 04:18:34 2009  elapsed time 00:59:15

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10127+173

c100

name 名前Sinkiti Sibata
date 日付March 20, 2009 06:43:37 UTC 2009 年 3 月 20 日 (金) 15 時 43 分 37 秒 (日本時間)
composite number 合成数
2352452700095063449936800197036820541946192934736737492782356811379725987285009842257277012202565523<100>
prime factors 素因数
9558968044013240910768539170267<31>
246099023374013580364688187219244824856754420286164173821931207411369<69>
factorization results 素因数分解の結果
Fri Mar 20 02:52:59 2009  Msieve v. 1.39
Fri Mar 20 02:52:59 2009  random seeds: 487af480 a062588b
Fri Mar 20 02:52:59 2009  factoring 2352452700095063449936800197036820541946192934736737492782356811379725987285009842257277012202565523 (100 digits)
Fri Mar 20 02:53:00 2009  searching for 15-digit factors
Fri Mar 20 02:53:02 2009  commencing quadratic sieve (100-digit input)
Fri Mar 20 02:53:02 2009  using multiplier of 7
Fri Mar 20 02:53:02 2009  using 32kb Intel Core sieve core
Fri Mar 20 02:53:02 2009  sieve interval: 36 blocks of size 32768
Fri Mar 20 02:53:02 2009  processing polynomials in batches of 6
Fri Mar 20 02:53:02 2009  using a sieve bound of 2712223 (98824 primes)
Fri Mar 20 02:53:02 2009  using large prime bound of 406833450 (28 bits)
Fri Mar 20 02:53:02 2009  using double large prime bound of 3140146831659150 (43-52 bits)
Fri Mar 20 02:53:02 2009  using trial factoring cutoff of 52 bits
Fri Mar 20 02:53:02 2009  polynomial 'A' values have 13 factors
Fri Mar 20 15:36:05 2009  99080 relations (22548 full + 76532 combined from 1498989 partial), need 98920
Fri Mar 20 15:36:07 2009  begin with 1521537 relations
Fri Mar 20 15:36:08 2009  reduce to 264208 relations in 11 passes
Fri Mar 20 15:36:08 2009  attempting to read 264208 relations
Fri Mar 20 15:36:13 2009  recovered 264208 relations
Fri Mar 20 15:36:13 2009  recovered 256016 polynomials
Fri Mar 20 15:36:14 2009  attempting to build 99080 cycles
Fri Mar 20 15:36:14 2009  found 99080 cycles in 6 passes
Fri Mar 20 15:36:14 2009  distribution of cycle lengths:
Fri Mar 20 15:36:14 2009     length 1 : 22548
Fri Mar 20 15:36:14 2009     length 2 : 16737
Fri Mar 20 15:36:14 2009     length 3 : 16641
Fri Mar 20 15:36:14 2009     length 4 : 13788
Fri Mar 20 15:36:14 2009     length 5 : 10419
Fri Mar 20 15:36:14 2009     length 6 : 7348
Fri Mar 20 15:36:14 2009     length 7 : 4725
Fri Mar 20 15:36:14 2009     length 9+: 6874
Fri Mar 20 15:36:14 2009  largest cycle: 21 relations
Fri Mar 20 15:36:14 2009  matrix is 98824 x 99080 (26.9 MB) with weight 6658301 (67.20/col)
Fri Mar 20 15:36:14 2009  sparse part has weight 6658301 (67.20/col)
Fri Mar 20 15:36:16 2009  filtering completed in 3 passes
Fri Mar 20 15:36:16 2009  matrix is 95296 x 95360 (26.0 MB) with weight 6432846 (67.46/col)
Fri Mar 20 15:36:16 2009  sparse part has weight 6432846 (67.46/col)
Fri Mar 20 15:36:16 2009  saving the first 48 matrix rows for later
Fri Mar 20 15:36:16 2009  matrix is 95248 x 95360 (15.2 MB) with weight 4959974 (52.01/col)
Fri Mar 20 15:36:16 2009  sparse part has weight 3417728 (35.84/col)
Fri Mar 20 15:36:16 2009  matrix includes 64 packed rows
Fri Mar 20 15:36:16 2009  using block size 38144 for processor cache size 1024 kB
Fri Mar 20 15:36:17 2009  commencing Lanczos iteration
Fri Mar 20 15:36:17 2009  memory use: 15.4 MB
Fri Mar 20 15:37:20 2009  lanczos halted after 1508 iterations (dim = 95246)
Fri Mar 20 15:37:20 2009  recovered 17 nontrivial dependencies
Fri Mar 20 15:37:21 2009  prp31 factor: 9558968044013240910768539170267
Fri Mar 20 15:37:21 2009  prp69 factor: 246099023374013580364688187219244824856754420286164173821931207411369
Fri Mar 20 15:37:21 2009  elapsed time 12:44:22

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10129+173

c119

name 名前Sinkiti Sibata
date 日付March 22, 2009 03:43:07 UTC 2009 年 3 月 22 日 (日) 12 時 43 分 7 秒 (日本時間)
composite number 合成数
12292423369780424409286096691655132415558349762911633736102345174234635424394221190217084491352027704098652792906563527<119>
prime factors 素因数
623219998062802938785799973843610813257<39>
19724051551602642903450015600131998699589330106576447898110400616964952612756111<80>
factorization results 素因数分解の結果
Number: 53339_129
N=12292423369780424409286096691655132415558349762911633736102345174234635424394221190217084491352027704098652792906563527
  ( 119 digits)
SNFS difficulty: 130 digits.
Divisors found:
 r1=623219998062802938785799973843610813257 (pp39)
 r2=19724051551602642903450015600131998699589330106576447898110400616964952612756111 (pp80)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.40 hours.
Scaled time: 1.61 units (timescale=0.473).
Factorization parameters were as follows:
name: 53339_129
n: 12292423369780424409286096691655132415558349762911633736102345174234635424394221190217084491352027704098652792906563527
m: 100000000000000000000000000
deg: 5
c5: 8
c0: 85
skew: 1.60
type: snfs
lss: 1
rlim: 1060000
alim: 1060000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1060000/1060000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [530000, 780001)
Primes: RFBsize:82832, AFBsize:82838, largePrimes:2518222 encountered
Relations: rels:2385744, finalFF:190256
Max relations in full relation-set: 28
Initial matrix: 165735 x 190256 with sparse part having weight 11939402.
Pruned matrix : 153355 x 154247 with weight 7704026.
Total sieving time: 2.98 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,130,5,0,0,0,0,0,0,0,0,1060000,1060000,26,26,47,47,2.3,2.3,50000
total time: 3.40 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10130+173

c119

name 名前Sinkiti Sibata
date 日付March 20, 2009 00:38:54 UTC 2009 年 3 月 20 日 (金) 9 時 38 分 54 秒 (日本時間)
composite number 合成数
23282430180094775401664521018455232150876520275482514920064567080964332978328610680296163882721213301511223106234761063<119>
prime factors 素因数
275816506470850227753681936494105767780247<42>
84412751354152141283549803205638828396580374356093958903094653958614394263729<77>
factorization results 素因数分解の結果
Number: 53339_130
N=23282430180094775401664521018455232150876520275482514920064567080964332978328610680296163882721213301511223106234761063
  ( 119 digits)
SNFS difficulty: 131 digits.
Divisors found:
 r1=275816506470850227753681936494105767780247 (pp42)
 r2=84412751354152141283549803205638828396580374356093958903094653958614394263729 (pp77)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.44 hours.
Scaled time: 1.62 units (timescale=0.471).
Factorization parameters were as follows:
name: 53339_130
n: 23282430180094775401664521018455232150876520275482514920064567080964332978328610680296163882721213301511223106234761063
m: 100000000000000000000000000
deg: 5
c5: 16
c0: 17
skew: 1.01
type: snfs
lss: 1
rlim: 1080000
alim: 1080000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1080000/1080000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [540000, 790001)
Primes: RFBsize:84270, AFBsize:83658, largePrimes:2549375 encountered
Relations: rels:2425796, finalFF:198554
Max relations in full relation-set: 28
Initial matrix: 167992 x 198554 with sparse part having weight 12368837.
Pruned matrix : 152731 x 153634 with weight 7390128.
Total sieving time: 3.02 hours.
Total relation processing time: 0.08 hours.
Matrix solve time: 0.30 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,131,5,0,0,0,0,0,0,0,0,1080000,1080000,26,26,47,47,2.3,2.3,50000
total time: 3.44 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10131+173

c101

name 名前Sinkiti Sibata
date 日付March 20, 2009 04:56:21 UTC 2009 年 3 月 20 日 (金) 13 時 56 分 21 秒 (日本時間)
composite number 合成数
10081407924213394489644691046726487228205642771742243655608201909603448312917038974804331061300694539<101>
prime factors 素因数
1715422178096007542208514188552440247371207737<46>
5876925256617012992829424695030398752503942555565595747<55>
factorization results 素因数分解の結果
Number: 53339_131
N=10081407924213394489644691046726487228205642771742243655608201909603448312917038974804331061300694539
  ( 101 digits)
SNFS difficulty: 132 digits.
Divisors found:
 r1=1715422178096007542208514188552440247371207737 (pp46)
 r2=5876925256617012992829424695030398752503942555565595747 (pp55)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 3.88 hours.
Scaled time: 1.83 units (timescale=0.471).
Factorization parameters were as follows:
name: 53339_131
n: 10081407924213394489644691046726487228205642771742243655608201909603448312917038974804331061300694539
m: 200000000000000000000000000
deg: 5
c5: 5
c0: 17
skew: 1.28
type: snfs
rlim: 1120000
alim: 1120000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1120000/1120000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved algebraic special-q in [560000, 860001)
Primes: RFBsize:87166, AFBsize:87008, largePrimes:2732090 encountered
Relations: rels:2654691, finalFF:241993
Max relations in full relation-set: 28
Initial matrix: 174239 x 241993 with sparse part having weight 16453366.
Pruned matrix : 145300 x 146235 with weight 7280426.
Total sieving time: 3.47 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.28 hours.
Time per square root: 0.04 hours.
Prototype def-par.txt line would be:
snfs,132,5,0,0,0,0,0,0,0,0,1120000,1120000,26,26,47,47,2.3,2.3,50000
total time: 3.88 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10134+173

c108

name 名前Sinkiti Sibata
date 日付March 19, 2009 21:13:41 UTC 2009 年 3 月 20 日 (金) 6 時 13 分 41 秒 (日本時間)
composite number 合成数
412911886952778951482599343105106825878811600735884610546214381342461568817914643805148222356406506358511413<108>
prime factors 素因数
7099268159581713691554413997525083<34>
4760738577651298269591554866833674069<37>
12217137744962110664685060042692824819<38>
factorization results 素因数分解の結果
Number: 53339_134
N=412911886952778951482599343105106825878811600735884610546214381342461568817914643805148222356406506358511413
  ( 108 digits)
SNFS difficulty: 135 digits.
Divisors found:
 r1=7099268159581713691554413997525083
 r2=4760738577651298269591554866833674069
 r3=12217137744962110664685060042692824819
Version: 
Total time: 2.82 hours.
Scaled time: 7.21 units (timescale=2.554).
Factorization parameters were as follows:
name: 53339_134
n: 412911886952778951482599343105106825878811600735884610546214381342461568817914643805148222356406506358511413
m: 1000000000000000000000000000
deg: 5
c5: 8
c0: 85
skew: 1.60
type: snfs
lss: 1
rlim: 1290000
alim: 1290000
lpbr: 26
lpba: 26
mfbr: 47
mfba: 47
rlambda: 2.3
alambda: 2.3
Factor base limits: 1290000/1290000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 47/47
Sieved rational special-q in [645000, 1020001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 153532 x 153780
Total sieving time: 2.82 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,135,5,0,0,0,0,0,0,0,0,1290000,1290000,26,26,47,47,2.3,2.3,75000
total time: 2.82 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10135+173

c128

name 名前Sinkiti Sibata
date 日付March 20, 2009 00:26:33 UTC 2009 年 3 月 20 日 (金) 9 時 26 分 33 秒 (日本時間)
composite number 合成数
23089843187393647550915965204085430843911558956321943721240490915291817671174492422795930841723074756716789564305237088292095429<128>
prime factors 素因数
133371437502545860492092625754017350087647<42>
173124348209509979320647923853723089400683536821989636733066792235614750308712167807707<87>
factorization results 素因数分解の結果
Number: 53339_135
N=23089843187393647550915965204085430843911558956321943721240490915291817671174492422795930841723074756716789564305237088292095429
  ( 128 digits)
SNFS difficulty: 136 digits.
Divisors found:
 r1=133371437502545860492092625754017350087647
 r2=173124348209509979320647923853723089400683536821989636733066792235614750308712167807707
Version: 
Total time: 2.81 hours.
Scaled time: 7.21 units (timescale=2.564).
Factorization parameters were as follows:
name: 53339_135
n: 23089843187393647550915965204085430843911558956321943721240490915291817671174492422795930841723074756716789564305237088292095429
m: 1000000000000000000000000000
deg: 5
c5: 16
c0: 17
skew: 1.01
type: snfs
lss: 1
rlim: 1300000
alim: 1300000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1300000/1300000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [650000, 1025001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 165863 x 166111
Total sieving time: 2.81 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,136,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,48,48,2.3,2.3,75000
total time: 2.81 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10136+173

c99

name 名前Serge Batalov
date 日付March 19, 2009 15:57:40 UTC 2009 年 3 月 20 日 (金) 0 時 57 分 40 秒 (日本時間)
composite number 合成数
364460257801765525280703493407596361705394214200433009128983863661619995356437645348212676294330817<99>
prime factors 素因数
771382818250946354031587328347<30>
472476504763422496979618639544003838355917850725179339642495333077011<69>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1151270288
Step 1 took 5788ms
Step 2 took 6180ms
********** Factor found in step 2: 771382818250946354031587328347
Found probable prime factor of 30 digits: 771382818250946354031587328347
Probable prime cofactor has 69 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10137+173

c95

name 名前Robert Backstrom
date 日付March 19, 2009 22:37:29 UTC 2009 年 3 月 20 日 (金) 7 時 37 分 29 秒 (日本時間)
composite number 合成数
70380914193075875069160056899381282352396507812412050756086369583463941326145489766315048914291<95>
prime factors 素因数
7354562144409310904345832577230403<34>
9569694675376026666594225015995206118078921791743315366068497<61>
factorization results 素因数分解の結果
Fri Mar 20 04:35:22 2009  
Fri Mar 20 04:35:22 2009  
Fri Mar 20 04:35:22 2009  Msieve v. 1.39
Fri Mar 20 04:35:22 2009  random seeds: bb7c5658 294ba63c
Fri Mar 20 04:35:22 2009  factoring 70380914193075875069160056899381282352396507812412050756086369583463941326145489766315048914291 (95 digits)
Fri Mar 20 04:35:22 2009  searching for 15-digit factors
Fri Mar 20 04:35:23 2009  commencing quadratic sieve (95-digit input)
Fri Mar 20 04:35:23 2009  using multiplier of 1
Fri Mar 20 04:35:23 2009  using 64kb Opteron sieve core
Fri Mar 20 04:35:23 2009  sieve interval: 18 blocks of size 65536
Fri Mar 20 04:35:23 2009  processing polynomials in batches of 6
Fri Mar 20 04:35:23 2009  using a sieve bound of 2196599 (80820 primes)
Fri Mar 20 04:35:23 2009  using large prime bound of 329489850 (28 bits)
Fri Mar 20 04:35:23 2009  using double large prime bound of 2148402323041500 (43-51 bits)
Fri Mar 20 04:35:23 2009  using trial factoring cutoff of 51 bits
Fri Mar 20 04:35:23 2009  polynomial 'A' values have 12 factors
Fri Mar 20 07:49:29 2009  81047 relations (19018 full + 62029 combined from 1236147 partial), need 80916
Fri Mar 20 07:49:31 2009  begin with 1255165 relations
Fri Mar 20 07:49:32 2009  reduce to 215317 relations in 11 passes
Fri Mar 20 07:49:32 2009  attempting to read 215317 relations
Fri Mar 20 07:49:35 2009  recovered 215317 relations
Fri Mar 20 07:49:35 2009  recovered 201777 polynomials
Fri Mar 20 07:49:35 2009  attempting to build 81047 cycles
Fri Mar 20 07:49:35 2009  found 81047 cycles in 7 passes
Fri Mar 20 07:49:36 2009  distribution of cycle lengths:
Fri Mar 20 07:49:36 2009     length 1 : 19018
Fri Mar 20 07:49:36 2009     length 2 : 13676
Fri Mar 20 07:49:36 2009     length 3 : 13585
Fri Mar 20 07:49:36 2009     length 4 : 11033
Fri Mar 20 07:49:36 2009     length 5 : 8460
Fri Mar 20 07:49:36 2009     length 6 : 5900
Fri Mar 20 07:49:36 2009     length 7 : 3881
Fri Mar 20 07:49:36 2009     length 9+: 5494
Fri Mar 20 07:49:36 2009  largest cycle: 23 relations
Fri Mar 20 07:49:36 2009  matrix is 80820 x 81047 (22.0 MB) with weight 5430538 (67.00/col)
Fri Mar 20 07:49:36 2009  sparse part has weight 5430538 (67.00/col)
Fri Mar 20 07:49:38 2009  filtering completed in 3 passes
Fri Mar 20 07:49:38 2009  matrix is 77513 x 77577 (21.1 MB) with weight 5218749 (67.27/col)
Fri Mar 20 07:49:38 2009  sparse part has weight 5218749 (67.27/col)
Fri Mar 20 07:49:38 2009  saving the first 48 matrix rows for later
Fri Mar 20 07:49:38 2009  matrix is 77465 x 77577 (13.7 MB) with weight 4138441 (53.35/col)
Fri Mar 20 07:49:38 2009  sparse part has weight 3127760 (40.32/col)
Fri Mar 20 07:49:38 2009  matrix includes 64 packed rows
Fri Mar 20 07:49:38 2009  using block size 31030 for processor cache size 1024 kB
Fri Mar 20 07:49:38 2009  commencing Lanczos iteration
Fri Mar 20 07:49:38 2009  memory use: 13.0 MB
Fri Mar 20 07:50:22 2009  lanczos halted after 1226 iterations (dim = 77462)
Fri Mar 20 07:50:22 2009  recovered 15 nontrivial dependencies
Fri Mar 20 07:50:23 2009  prp34 factor: 7354562144409310904345832577230403
Fri Mar 20 07:50:23 2009  prp61 factor: 9569694675376026666594225015995206118078921791743315366068497
Fri Mar 20 07:50:23 2009  elapsed time 03:15:01

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10138+173

c127

name 名前Sinkiti Sibata
date 日付March 20, 2009 05:06:12 UTC 2009 年 3 月 20 日 (金) 14 時 6 分 12 秒 (日本時間)
composite number 合成数
3468441900976846493796351077859498146675611652658964776630576869620175883842676469694774931859655655146040671758074217952234303<127>
prime factors 素因数
454899394030094871696840828218919010961<39>
7624635131405306021976110358540209676561181550632754418412763175674346292489709058390223<88>
factorization results 素因数分解の結果
Number: 53339_138
N=3468441900976846493796351077859498146675611652658964776630576869620175883842676469694774931859655655146040671758074217952234303
  ( 127 digits)
SNFS difficulty: 140 digits.
Divisors found:
 r1=454899394030094871696840828218919010961
 r2=7624635131405306021976110358540209676561181550632754418412763175674346292489709058390223
Version: 
Total time: 4.22 hours.
Scaled time: 10.83 units (timescale=2.564).
Factorization parameters were as follows:
name: 53339_138
n: 3468441900976846493796351077859498146675611652658964776630576869620175883842676469694774931859655655146040671758074217952234303
m: 4000000000000000000000000000
deg: 5
c5: 125
c0: 136
skew: 1.02
type: snfs
rlim: 1510000
alim: 1510000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3
Factor base limits: 1510000/1510000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved algebraic special-q in [755000, 1355001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 207358 x 207606
Total sieving time: 4.22 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,140,5,0,0,0,0,0,0,0,0,1510000,1510000,26,26,48,48,2.3,2.3,75000
total time: 4.22 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10141+173

c136

name 名前Erik Branger
date 日付March 20, 2009 06:30:47 UTC 2009 年 3 月 20 日 (金) 15 時 30 分 47 秒 (日本時間)
composite number 合成数
8499457893951201424934115920918918890204534142056751942790148915814463208768465736294756950033280689816002673079507647652848141779457129<136>
prime factors 素因数
98531454093262507723164589411652625162805522024873067<53>
86261366709419004879256051310572074798571199905749754449998290361726951365465220987<83>
factorization results 素因数分解の結果
Number: 53339_141
N=8499457893951201424934115920918918890204534142056751942790148915814463208768465736294756950033280689816002673079507647652848141779457129
  ( 136 digits)
SNFS difficulty: 142 digits.
Divisors found:
 r1=98531454093262507723164589411652625162805522024873067
 r2=86261366709419004879256051310572074798571199905749754449998290361726951365465220987
Version: 
Total time: 7.22 hours.
Scaled time: 5.69 units (timescale=0.789).
Factorization parameters were as follows:
n: 8499457893951201424934115920918918890204534142056751942790148915814463208768465736294756950033280689816002673079507647652848141779457129
m: 20000000000000000000000000000
deg: 5
c5: 5
c0: 17
skew: 1.28
type: snfs
lss: 1
rlim: 1700000
alim: 1700000
lpbr: 26
lpba: 26
mfbr: 48
mfba: 48
rlambda: 2.3
alambda: 2.3Factor base limits: 1700000/1700000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 48/48
Sieved rational special-q in [850000, 1450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 218106 x 218354
Total sieving time: 7.22 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,142,5,0,0,0,0,0,0,0,0,1700000,1700000,26,26,48,48,2.3,2.3,100000
total time: 7.22 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10145+173

c130

name 名前Sinkiti Sibata
date 日付March 20, 2009 10:00:17 UTC 2009 年 3 月 20 日 (金) 19 時 0 分 17 秒 (日本時間)
composite number 合成数
3262207098137026742245065842599988326637156703447034000654332100641563831391951069640537622805004889844622538445754817690253123769<130>
prime factors 素因数
1017920604757100124175506379483305391<37>
3204775581603897617400152633317975172533435467301482055633599256186949556972877362944784052759<94>
factorization results 素因数分解の結果
Number: 53339_145
N=3262207098137026742245065842599988326637156703447034000654332100641563831391951069640537622805004889844622538445754817690253123769
  ( 130 digits)
SNFS difficulty: 146 digits.
Divisors found:
 r1=1017920604757100124175506379483305391 (pp37)
 r2=3204775581603897617400152633317975172533435467301482055633599256186949556972877362944784052759 (pp94)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 17.11 hours.
Scaled time: 44.07 units (timescale=2.575).
Factorization parameters were as follows:
name: 53339_145
n: 3262207098137026742245065842599988326637156703447034000654332100641563831391951069640537622805004889844622538445754817690253123769
m: 100000000000000000000000000000
deg: 5
c5: 16
c0: 17
skew: 1.01
type: snfs
rlim: 1910000
alim: 1910000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1910000/1910000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [955000, 2255001)
Primes: RFBsize:142718, AFBsize:142015, largePrimes:4682805 encountered
Relations: rels:5729679, finalFF:1220613
Max relations in full relation-set: 28
Initial matrix: 284797 x 1220613 with sparse part having weight 121044188.
Pruned matrix : 178108 x 179595 with weight 38970759.
Total sieving time: 16.63 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.33 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,146,5,0,0,0,0,0,0,0,0,1910000,1910000,26,26,49,49,2.3,2.3,100000
total time: 17.11 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10146+173

c118

name 名前Sinkiti Sibata
date 日付March 20, 2009 22:17:57 UTC 2009 年 3 月 21 日 (土) 7 時 17 分 57 秒 (日本時間)
composite number 合成数
5645785407093229523450444930076978097985520970778427251742486562229340790332525704995666239342427900024865562723975419<118>
prime factors 素因数
86647924148580878037180406898757962104657<41>
65157768781765977762053170572689023638293806097473705832942639134885363376267<77>
factorization results 素因数分解の結果
Number: 53339_146
N=5645785407093229523450444930076978097985520970778427251742486562229340790332525704995666239342427900024865562723975419
  ( 118 digits)
SNFS difficulty: 147 digits.
Divisors found:
 r1=86647924148580878037180406898757962104657 (pp41)
 r2=65157768781765977762053170572689023638293806097473705832942639134885363376267 (pp77)
Version: GGNFS-0.77.1-20050930-pentium4
Total time: 13.73 hours.
Scaled time: 6.48 units (timescale=0.472).
Factorization parameters were as follows:
name: 53339_146
n: 5645785407093229523450444930076978097985520970778427251742486562229340790332525704995666239342427900024865562723975419
m: 200000000000000000000000000000
deg: 5
c5: 5
c0: 17
skew: 1.28
type: snfs
rlim: 1990000
alim: 1990000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3
Factor base limits: 1990000/1990000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [995000, 1995001)
Primes: RFBsize:148219, AFBsize:148151, largePrimes:3891517 encountered
Relations: rels:3932779, finalFF:384477
Max relations in full relation-set: 28
Initial matrix: 296435 x 384477 with sparse part having weight 29846694.
Pruned matrix : 262135 x 263681 with weight 17013240.
Total sieving time: 11.83 hours.
Total relation processing time: 0.16 hours.
Matrix solve time: 1.65 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,147,5,0,0,0,0,0,0,0,0,1990000,1990000,26,26,49,49,2.3,2.3,100000
total time: 13.73 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Pentium 4 2.4GHz, Windows XP and Cygwin

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10147+173

c137

name 名前Erik Branger
date 日付March 20, 2009 06:29:29 UTC 2009 年 3 月 20 日 (金) 15 時 29 分 29 秒 (日本時間)
composite number 合成数
17489225199528876930103479638040835832191914225321633209217253619853852876614293076683294006157083460741282726660636470553825466010806311<137>
prime factors 素因数
1027482580059048117497952822277<31>
9409699702063826388217071571541161674436721450537<49>
1808924074299550618481698414759567874414711834398853215939<58>
factorization results 素因数分解の結果
Number: 53339_147
N=17489225199528876930103479638040835832191914225321633209217253619853852876614293076683294006157083460741282726660636470553825466010806311
  ( 137 digits)
SNFS difficulty: 148 digits.
Divisors found:
 r1=1027482580059048117497952822277
 r2=9409699702063826388217071571541161674436721450537
 r3=1808924074299550618481698414759567874414711834398853215939
Version: 
Total time: 9.11 hours.
Scaled time: 9.07 units (timescale=0.995).
Factorization parameters were as follows:
n: 17489225199528876930103479638040835832191914225321633209217253619853852876614293076683294006157083460741282726660636470553825466010806311
m: 200000000000000000000000000000
deg: 5
c5: 50
c0: 17
skew: 0.81
type: snfs
lss: 1
rlim: 2100000
alim: 2100000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.3
alambda: 2.3Factor base limits: 2100000/2100000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved rational special-q in [1050000, 2150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 299724 x 299972
Total sieving time: 9.11 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,148,5,0,0,0,0,0,0,0,0,2100000,2100000,26,26,49,49,2.3,2.3,100000
total time: 9.11 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10148+173

c139

name 名前Sinkiti Sibata
date 日付March 20, 2009 22:53:38 UTC 2009 年 3 月 21 日 (土) 7 時 53 分 38 秒 (日本時間)
composite number 合成数
6934175154054475060038774393210973357889745590439477645571012428168544246773102249928479498122105298705396229221788410415615970922906684483<139>
prime factors 素因数
1970805129651612702855917094141798731030723421241267<52>
3518447892045144824283402589333190568229454329679224368597593827794731475863057750227249<88>
factorization results 素因数分解の結果
Number: 53339_148
N=6934175154054475060038774393210973357889745590439477645571012428168544246773102249928479498122105298705396229221788410415615970922906684483
  ( 139 digits)
SNFS difficulty: 150 digits.
Divisors found:
 r1=1970805129651612702855917094141798731030723421241267 (pp52)
 r2=3518447892045144824283402589333190568229454329679224368597593827794731475863057750227249 (pp88)
Version: GGNFS-0.77.1-20060513-nocona
Total time: 23.56 hours.
Scaled time: 60.66 units (timescale=2.575).
Factorization parameters were as follows:
name: 53339_148
n: 6934175154054475060038774393210973357889745590439477645571012428168544246773102249928479498122105298705396229221788410415615970922906684483
m: 400000000000000000000000000000
deg: 5
c5: 125
c0: 136
skew: 1.02
type: snfs
rlim: 2200000
alim: 2200000
lpbr: 27
lpba: 27
mfbr: 49
mfba: 49
rlambda: 2.4
alambda: 2.4
Factor base limits: 2200000/2200000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 49/49
Sieved algebraic special-q in [1100000, 1600001)
Primes: RFBsize:162662, AFBsize:161875, largePrimes:8008307 encountered
Relations: rels:9347537, finalFF:1756819
Max relations in full relation-set: 28
Initial matrix: 324603 x 1756819 with sparse part having weight 181642673.
Pruned matrix : 188940 x 190627 with weight 44204690.
Total sieving time: 22.89 hours.
Total relation processing time: 0.14 hours.
Matrix solve time: 0.46 hours.
Time per square root: 0.07 hours.
Prototype def-par.txt line would be:
snfs,150,5,0,0,0,0,0,0,0,0,2200000,2200000,27,27,49,49,2.4,2.4,100000
total time: 23.56 hours.
 --------- CPU info (if available) ----------
execution environment 実行環境
Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10153+173

c117

name 名前Erik Branger
date 日付March 24, 2009 06:33:59 UTC 2009 年 3 月 24 日 (火) 15 時 33 分 59 秒 (日本時間)
composite number 合成数
104464515657401055928513502186110775732201553600729263450936442463049596896934901716742173064842467251215741239233017<117>
prime factors 素因数
264723415122518858514699565296543054555719138609<48>
394617588357467205736723452214598506058331081720963009624925936387913<69>
factorization results 素因数分解の結果
Number: 53339_153
N=104464515657401055928513502186110775732201553600729263450936442463049596896934901716742173064842467251215741239233017
  ( 117 digits)
SNFS difficulty: 155 digits.
Divisors found:
 r1=264723415122518858514699565296543054555719138609
 r2=394617588357467205736723452214598506058331081720963009624925936387913
Version: 
Total time: 26.42 hours.
Scaled time: 20.69 units (timescale=0.783).
Factorization parameters were as follows:
n: 104464515657401055928513502186110775732201553600729263450936442463049596896934901716742173064842467251215741239233017
m: 4000000000000000000000000000000
deg: 5
c5: 125
c0: 136
skew: 1.02
type: snfs
lss: 1
rlim: 2700000
alim: 2700000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4
Factor base limits: 2700000/2700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1350000, 2050001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 387890 x 388138
Total sieving time: 26.42 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,155,5,0,0,0,0,0,0,0,0,2700000,2700000,27,27,50,50,2.4,2.4,100000
total time: 26.42 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10155+173

c126

name 名前Erik Branger
date 日付March 23, 2009 09:23:53 UTC 2009 年 3 月 23 日 (月) 18 時 23 分 53 秒 (日本時間)
composite number 合成数
432766833624903841995769451831156239493595362335642487063658241830861851563850104811991408368391566906660453126060429189684699<126>
prime factors 素因数
133580396914047305026081348186586773<36>
1641967491171100517839361762257277209237<40>
1973089047991938179155944152604719461286180910126899<52>
factorization results 素因数分解の結果
Number: 53339_155
N=432766833624903841995769451831156239493595362335642487063658241830861851563850104811991408368391566906660453126060429189684699
  ( 126 digits)
SNFS difficulty: 156 digits.
Divisors found:
 r1=133580396914047305026081348186586773
 r2=1641967491171100517839361762257277209237
 r3=1973089047991938179155944152604719461286180910126899
Version: 
Total time: 19.87 hours.
Scaled time: 20.08 units (timescale=1.011).
Factorization parameters were as follows:
n: 432766833624903841995769451831156239493595362335642487063658241830861851563850104811991408368391566906660453126060429189684699
m: 10000000000000000000000000000000
deg: 5
c5: 16
c0: 17
skew: 1.01
type: snfs
lss: 1
rlim: 2800000
alim: 2800000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.4
alambda: 2.4Factor base limits: 2800000/2800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved rational special-q in [1400000, 2100001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 401024 x 401272
Total sieving time: 19.87 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,156,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,50,50,2.4,2.4,100000
total time: 19.87 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10157+173

c138

name 名前Robert Backstrom
date 日付March 30, 2009 23:14:31 UTC 2009 年 3 月 31 日 (火) 8 時 14 分 31 秒 (日本時間)
composite number 合成数
462270877045393163584348333685350086843161288349162181866585708605048711534748880933255975279236570378999265058357048501718512986563719359<138>
prime factors 素因数
151415726802733836070298952223999025939393684802019324559<57>
3052991170776104521524354567572988782090802728355355198184479556190327131801237201<82>
factorization results 素因数分解の結果
Number: n
N=462270877045393163584348333685350086843161288349162181866585708605048711534748880933255975279236570378999265058357048501718512986563719359
  ( 138 digits)
SNFS difficulty: 158 digits.
Divisors found:

Tue Mar 31 10:09:36 2009  prp57 factor: 151415726802733836070298952223999025939393684802019324559
Tue Mar 31 10:09:36 2009  prp82 factor: 3052991170776104521524354567572988782090802728355355198184479556190327131801237201
Tue Mar 31 10:09:36 2009  elapsed time 00:45:07 (Msieve 1.39 - dependency 1)

Version: GGNFS-0.77.1-20060513-pentium-m
Total time: 17.44 hours.
Scaled time: 46.39 units (timescale=2.660).
Factorization parameters were as follows:
name: KA_5_3_156_9
n: 462270877045393163584348333685350086843161288349162181866585708605048711534748880933255975279236570378999265058357048501718512986563719359
skew: 0.81
deg: 5
c5: 50
c0: 17
m: 20000000000000000000000000000000
type: snfs
rlim: 4500000
alim: 4500000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.4
alambda: 2.4
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 56/56
Sieved  special-q in [2250000, 3240409)
Primes: RFBsize:315948, AFBsize:316401, largePrimes:14457525 encountered
Relations: rels:13441122, finalFF:589292
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 934151 hash collisions in 15350882 relations
Msieve: matrix is 569049 x 569297 (151.8 MB)

Total sieving time: 17.16 hours.
Total relation processing time: 0.28 hours.
Matrix solve time: 0.00 hours.
Total square root time: 0.00 hours, sqrts: 0.
Prototype def-par.txt line would be:
snfs,158,5,0,0,0,0,0,0,0,0,4500000,4500000,28,28,56,56,2.4,2.4,100000
total time: 17.44 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10159+173

c124

name 名前Serge Batalov
date 日付March 19, 2009 16:13:37 UTC 2009 年 3 月 20 日 (金) 1 時 13 分 37 秒 (日本時間)
composite number 合成数
5566462461624264565242722022992601109880268553219648505880424737374469066215572859149980993704820417941087950852310045212679<124>
prime factors 素因数
181460042160288350794014941791<30>
composite cofactor 合成数の残り
30675968082864569337146521319456691256436797450754597199363823113423792359722327736654385550169<95>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1862731850
Step 1 took 6880ms
Step 2 took 7373ms
********** Factor found in step 2: 181460042160288350794014941791
Found probable prime factor of 30 digits: 181460042160288350794014941791
Composite cofactor has 95 digits
software ソフトウェア
GMP-ECM 6.2.2

c95

name 名前Sinkiti Sibata
date 日付March 21, 2009 06:15:10 UTC 2009 年 3 月 21 日 (土) 15 時 15 分 10 秒 (日本時間)
composite number 合成数
30675968082864569337146521319456691256436797450754597199363823113423792359722327736654385550169<95>
prime factors 素因数
16433336450614236706160575327<29>
1866691415650896562187704322494751573492502375255655246746456677447<67>
factorization results 素因数分解の結果
Sat Mar 21 07:47:23 2009  Msieve v. 1.39
Sat Mar 21 07:47:23 2009  random seeds: 2dc22e14 ac7a317a
Sat Mar 21 07:47:23 2009  factoring 30675968082864569337146521319456691256436797450754597199363823113423792359722327736654385550169 (95 digits)
SSSat Mar 21 07:47:24 2009  searching for 15-digit factors
Sat Mar 21 07:47:26 2009  commencing quadratic sieve (95-digit input)
Sat Mar 21 07:47:26 2009  using multiplier of 5
Sat Mar 21 07:47:26 2009  using 32kb Intel Core sieve core
Sat Mar 21 07:47:26 2009  sieve interval: 36 blocks of size 32768
Sat Mar 21 07:47:26 2009  processing polynomials in batches of 6
SSat Mar 21 07:47:26 2009  using a sieve bound of 2120351 (78824 primes)
Sat Mar 21 07:47:26 2009  using large prime bound of 309571246 (28 bits)
Sat Mar 21 07:47:26 2009  using double large prime bound of 1920299848206370 (43-51 bits)
Sat Mar 21 07:47:26 2009  using trial factoring cutoff of 51 bits
Sat Mar 21 07:47:26 2009  polynomial 'A' values have 12 factors
Sat Mar 21 11:37:13 2009  79215 relations (19218 full + 59997 combined from 1172811 partial), need 78920
Sat Mar 21 11:37:14 2009  begin with 1192029 relations
Sat Mar 21 11:37:16 2009  reduce to 207251 relations in 11 passes
Sat Mar 21 11:37:16 2009  attempting to read 207251 relations
Sat Mar 21 11:37:19 2009  recovered 207251 relations
Sat Mar 21 11:37:19 2009  recovered 191354 polynomials
Sat Mar 21 11:37:19 2009  attempting to build 79215 cycles
Sat Mar 21 11:37:19 2009  found 79215 cycles in 5 passes
Sat Mar 21 11:37:19 2009  distribution of cycle lengths:
Sat Mar 21 11:37:19 2009     length 1 : 19218
Sat Mar 21 11:37:19 2009     length 2 : 13842
Sat Mar 21 11:37:19 2009     length 3 : 13308
Sat Mar 21 11:37:19 2009     length 4 : 10659
Sat Mar 21 11:37:19 2009     length 5 : 8146
Sat Mar 21 11:37:19 2009     length 6 : 5481
Sat Mar 21 11:37:19 2009     length 7 : 3649
Sat Mar 21 11:37:19 2009     length 9+: 4912
Sat Mar 21 11:37:19 2009  largest cycle: 20 relations
Sat Mar 21 11:37:19 2009  matrix is 78824 x 79215 (21.5 MB) with weight 5319220 (67.15/col)
Sat Mar 21 11:37:19 2009  sparse part has weight 5319220 (67.15/col)
Sat Mar 21 11:37:21 2009  filtering completed in 3 passes
Sat Mar 21 11:37:21 2009  matrix is 75158 x 75222 (20.5 MB) with weight 5063299 (67.31/col)
Sat Mar 21 11:37:21 2009  sparse part has weight 5063299 (67.31/col)
Sat Mar 21 11:37:21 2009  saving the first 48 matrix rows for later
Sat Mar 21 11:37:21 2009  matrix is 75110 x 75222 (13.9 MB) with weight 4111085 (54.65/col)
Sat Mar 21 11:37:21 2009  sparse part has weight 3194501 (42.47/col)
Sat Mar 21 11:37:21 2009  matrix includes 64 packed rows
Sat Mar 21 11:37:21 2009  using block size 30088 for processor cache size 1024 kB
Sat Mar 21 11:37:22 2009  commencing Lanczos iteration
Sat Mar 21 11:37:22 2009  memory use: 12.8 MB
Sat Mar 21 11:38:01 2009  lanczos halted after 1189 iterations (dim = 75109)
Sat Mar 21 11:38:01 2009  recovered 17 nontrivial dependencies
Sat Mar 21 11:38:04 2009  prp29 factor: 16433336450614236706160575327
Sat Mar 21 11:38:04 2009  prp67 factor: 1866691415650896562187704322494751573492502375255655246746456677447
Sat Mar 21 11:38:04 2009  elapsed time 03:50:41

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10161+173

c122

name 名前Jo Yeong Uk
date 日付April 3, 2009 04:14:01 UTC 2009 年 4 月 3 日 (金) 13 時 14 分 1 秒 (日本時間)
composite number 合成数
89405228079879721975382948088960952194148538040782131611170920385353678079829242583342250139601121790793716448717830554291<122>
prime factors 素因数
3163136667118281002802364642599093883066161549419<49>
28264737660333454210808193745298846039677110745960392543532282451321424089<74>
factorization results 素因数分解の結果
Number: 53339_161
N=89405228079879721975382948088960952194148538040782131611170920385353678079829242583342250139601121790793716448717830554291
  ( 122 digits)
SNFS difficulty: 162 digits.
Divisors found:
 r1=3163136667118281002802364642599093883066161549419
 r2=28264737660333454210808193745298846039677110745960392543532282451321424089
Version: 
Total time: 12.35 hours.
Scaled time: 29.54 units (timescale=2.391).
Factorization parameters were as follows:
n: 89405228079879721975382948088960952194148538040782131611170920385353678079829242583342250139601121790793716448717830554291
m: 200000000000000000000000000000000
deg: 5
c5: 5
c0: 17
skew: 1.28
type: snfs
lss: 1
rlim: 3400000
alim: 3400000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3400000/3400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1700000, 2700001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 9090268
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 549032 x 549280
Total sieving time: 11.13 hours.
Total relation processing time: 0.47 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.06 hours.
Prototype def-par.txt line would be:
snfs,162,5,0,0,0,0,0,0,0,0,3400000,3400000,27,27,51,51,2.4,2.4,100000
total time: 12.35 hours.
 --------- CPU info (if available) ----------
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Intel(R) Core(TM)2 Quad CPU    Q6700  @ 2.66GHz stepping 0b
Memory: 8047004k/8912896k available (2460k kernel code, 339224k reserved, 1250k data, 196k init)
Calibrating delay using timer specific routine.. 5347.59 BogoMIPS (lpj=2673797)
Calibrating delay using timer specific routine.. 5148.57 BogoMIPS (lpj=2574285)
Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)
Calibrating delay using timer specific routine.. 5344.77 BogoMIPS (lpj=2672389)
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10162+173

c133

name 名前Ignacio Santos
date 日付April 3, 2009 07:54:03 UTC 2009 年 4 月 3 日 (金) 16 時 54 分 3 秒 (日本時間)
composite number 合成数
3760418710407676147088591359768419603013377672839821197966929806224449753101770249904932480950033657688556959993576877288425009047113<133>
prime factors 素因数
88786862660586663244640643872864911682545620326200986806441777<62>
42353323427847191474859755218340012612106669231687179673124239284988569<71>
factorization results 素因数分解の結果
Number: 53339_162
N=3760418710407676147088591359768419603013377672839821197966929806224449753101770249904932480950033657688556959993576877288425009047113
  ( 133 digits)
SNFS difficulty: 163 digits.
Divisors found:
 r1=88786862660586663244640643872864911682545620326200986806441777 (pp62)
 r2=42353323427847191474859755218340012612106669231687179673124239284988569 (pp71)
Version: Msieve-1.39
Total time: 26.45 hours.
Scaled time: 68.01 units (timescale=2.571).
Factorization parameters were as follows:
n: 3760418710407676147088591359768419603013377672839821197966929806224449753101770249904932480950033657688556959993576877288425009047113
m: 200000000000000000000000000000000
deg: 5
c5: 50
c0: 17
skew: 0.81
type: snfs
lss: 1
rlim: 3700000
alim: 3700000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 3700000/3700000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [1850000, 3150001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 596624 x 596872
Total sieving time: 26.45 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,163,5,0,0,0,0,0,0,0,0,3700000,3700000,27,27,51,51,2.4,2.4,100000
total time: 26.45 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10163+173

c135

name 名前Ignacio Santos
date 日付April 2, 2009 07:16:43 UTC 2009 年 4 月 2 日 (木) 16 時 16 分 43 秒 (日本時間)
composite number 合成数
147952565181734040237698809471184003259730494285431717731168000912810184465437822121306390798769757887521596502279744695010454759376007<135>
prime factors 素因数
27301446782712309048436486454571303733558437148082226127<56>
5419220686700744836266372750790973569994429238428190314031647706010711660202441<79>
factorization results 素因数分解の結果
Number: 53339_163
N=147952565181734040237698809471184003259730494285431717731168000912810184465437822121306390798769757887521596502279744695010454759376007
  ( 135 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=27301446782712309048436486454571303733558437148082226127 (pp56)
 r2=5419220686700744836266372750790973569994429238428190314031647706010711660202441 (pp79)
Version: Msieve-1.39
Total time: 28.82 hours.
Scaled time: 74.08 units (timescale=2.571).
Factorization parameters were as follows:
n: 147952565181734040237698809471184003259730494285431717731168000912810184465437822121306390798769757887521596502279744695010454759376007
m: 400000000000000000000000000000000
deg: 5
c5: 125
c0: 136
skew: 1.02
type: snfs
lss: 1
rlim: 4000000
alim: 4000000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4Factor base limits: 4000000/4000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2000000, 3400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 635590 x 635838
Total sieving time: 28.82 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,51,51,2.4,2.4,100000
total time: 28.82 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10164+173

c133

name 名前Ignacio Santos
date 日付April 3, 2009 16:15:19 UTC 2009 年 4 月 4 日 (土) 1 時 15 分 19 秒 (日本時間)
composite number 合成数
5533076039547277534902686816907006617446562817173649013529351377329245459054776917181026429204484592208927485101171248718472484912151<133>
prime factors 素因数
2649677219441206617450398015543024233<37>
77491984690871110773116882178649397417<38>
26947400854473157601390674819569193818375636070543656911591<59>
factorization results 素因数分解の結果
Number: 53339_164
N=5533076039547277534902686816907006617446562817173649013529351377329245459054776917181026429204484592208927485101171248718472484912151
  ( 133 digits)
SNFS difficulty: 165 digits.
Divisors found:
 r1=2649677219441206617450398015543024233 (pp37)
 r2=77491984690871110773116882178649397417 (pp38)
 r3=26947400854473157601390674819569193818375636070543656911591 (pp59)
Version: Msieve-1.39
Total time: 27.26 hours.
Scaled time: 70.09 units (timescale=2.571).
Factorization parameters were as follows:
n: 5533076039547277534902686816907006617446562817173649013529351377329245459054776917181026429204484592208927485101171248718472484912151
m: 1000000000000000000000000000000000
deg: 5
c5: 8
c0: 85
skew: 1.60
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 3350001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 657083 x 657331
Total sieving time: 27.26 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,165,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 27.26 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10165+173

c140

name 名前Ignacio Santos
date 日付April 3, 2009 17:18:50 UTC 2009 年 4 月 4 日 (土) 2 時 18 分 50 秒 (日本時間)
composite number 合成数
12987214069769162665161528597771091153224110850225315252735583091972876470942161386503929317169635014496235037525504716535947677808172472237<140>
prime factors 素因数
17341860308469023779168462781855560492984381719029<50>
748893938640871307834077166117365969021084229218403936692626349730095244157941293835195353<90>
factorization results 素因数分解の結果
Number: 53339_165
N=12987214069769162665161528597771091153224110850225315252735583091972876470942161386503929317169635014496235037525504716535947677808172472237
  ( 140 digits)
SNFS difficulty: 166 digits.
Divisors found:
 r1=17341860308469023779168462781855560492984381719029 (pp50)
 r2=748893938640871307834077166117365969021084229218403936692626349730095244157941293835195353 (pp90)
Version: Msieve-1.39
Total time: 26.23 hours.
Scaled time: 45.62 units (timescale=1.739).
Factorization parameters were as follows:
n: 12987214069769162665161528597771091153224110850225315252735583091972876470942161386503929317169635014496235037525504716535947677808172472237
m: 1000000000000000000000000000000000
deg: 5
c5: 16
c0: 17
skew: 1.01
type: snfs
lss: 1
rlim: 4100000
alim: 4100000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4100000/4100000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2050000, 3450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 629722 x 629970
Total sieving time: 26.23 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,166,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000
total time: 26.23 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10166+173

c165

name 名前Ignacio Santos
date 日付March 20, 2009 07:00:41 UTC 2009 年 3 月 20 日 (金) 16 時 0 分 41 秒 (日本時間)
composite number 合成数
372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960373<165>
prime factors 素因数
18446113805573149007822003131717<32>
20218913148399309160757726082320481802184037361213630414348530230821676575403409534317023506556541934147864836343737525024390817510769<134>
factorization results 素因数分解の結果
Number: 53339_166
N=372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960373
  ( 165 digits)
SNFS difficulty: 167 digits.
Divisors found:
 r1=18446113805573149007822003131717 (pp32)
 r2=20218913148399309160757726082320481802184037361213630414348530230821676575403409534317023506556541934147864836343737525024390817510769 (pp134)
Version: Msieve-1.39
Total time: 26.55 hours.
Scaled time: 46.17 units (timescale=1.739).
Factorization parameters were as follows:
n: 372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960373
m: 2000000000000000000000000000000000
deg: 5
c5: 5
c0: 17
skew: 1.28
type: snfs
lss: 1
rlim: 4300000
alim: 4300000
lpbr: 27
lpba: 27
mfbr: 51
mfba: 51
rlambda: 2.4
alambda: 2.4
Factor base limits: 4300000/4300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 51/51
Sieved rational special-q in [2150000, 3550001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 705711 x 705959
Total sieving time: 26.55 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,167,5,0,0,0,0,0,0,0,0,4300000,4300000,27,27,51,51,2.4,2.4,100000
total time: 26.55 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10168+173

c153

name 名前Ignacio Santos
date 日付March 22, 2009 14:58:01 UTC 2009 年 3 月 22 日 (日) 23 時 58 分 1 秒 (日本時間)
composite number 合成数
373718476648684572637694595120833703274454218519866059110650467541553477345097898834202957714009891476604066068299185279577128527994396935030163900523767<153>
prime factors 素因数
237162299947870602923360845817776486574128966845412187779<57>
1575792091453108964971588622205552962509706167218824000441526861593990073743591728636132377122173<97>
factorization results 素因数分解の結果
Number: 53339_168
N=373718476648684572637694595120833703274454218519866059110650467541553477345097898834202957714009891476604066068299185279577128527994396935030163900523767
  ( 153 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=237162299947870602923360845817776486574128966845412187779 (pp57)
 r2=1575792091453108964971588622205552962509706167218824000441526861593990073743591728636132377122173 (pp97)
Version: Msieve-1.39
Total time: 42.58 hours.
Scaled time: 109.01 units (timescale=2.560).
Factorization parameters were as follows:
n: 373718476648684572637694595120833703274454218519866059110650467541553477345097898834202957714009891476604066068299185279577128527994396935030163900523767
m: 4000000000000000000000000000000000
deg: 5
c5: 125
c0: 136
skew: 1.02
type: snfs
lss: 1
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2400000, 4300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 836237 x 836485
Total sieving time: 42.58 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4800000,4800000,27,27,52,52,2.4,2.4,100000
total time: 42.58 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10169+173

c159

name 名前Ignacio Santos
date 日付March 24, 2009 07:08:10 UTC 2009 年 3 月 24 日 (火) 16 時 8 分 10 秒 (日本時間)
composite number 合成数
460051205265217827867701313446325309642435347740758774579621175352669685683423258785786058802508686637912682582855982468213333463621214818058817838949948405273<159>
prime factors 素因数
117980842480867583939408945317682323<36>
3899372097972789414698208696244062153377248699113952186123882034637330975141875979630721018894931532069809165030022672431651<124>
factorization results 素因数分解の結果
Number: 53339_169
N=460051205265217827867701313446325309642435347740758774579621175352669685683423258785786058802508686637912682582855982468213333463621214818058817838949948405273
  ( 159 digits)
SNFS difficulty: 170 digits.
Divisors found:
 r1=117980842480867583939408945317682323 (pp36)
 r2=3899372097972789414698208696244062153377248699113952186123882034637330975141875979630721018894931532069809165030022672431651 (pp124)
Version: Msieve-1.39
Total time: 42.98 hours.
Scaled time: 110.50 units (timescale=2.571).
Factorization parameters were as follows:
n: 460051205265217827867701313446325309642435347740758774579621175352669685683423258785786058802508686637912682582855982468213333463621214818058817838949948405273
m: 10000000000000000000000000000000000
deg: 5
c5: 8
c0: 85
skew: 1.60
type: snfs
lss: 1
rlim: 4900000
alim: 4900000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 4900000/4900000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2450000, 4450001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 819069 x 819316
Total sieving time: 42.98 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,170,5,0,0,0,0,0,0,0,0,4900000,4900000,27,27,52,52,2.4,2.4,100000
total time: 42.98 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10170+173

c156

name 名前Ignacio Santos
date 日付March 25, 2009 18:31:09 UTC 2009 年 3 月 26 日 (木) 3 時 31 分 9 秒 (日本時間)
composite number 合成数
560092735041705137562298026759894588633998295834374639822117020159143485878569329742355372234945155356505826309236855960429115016162119308543393017126478503<156>
prime factors 素因数
132352806904194982440252584077327919<36>
4231816069054994431419448863751815900867250965737302061112758210469770212260400845121738062490712318340173811038583094537<121>
factorization results 素因数分解の結果
Number: 53339_170
N=560092735041705137562298026759894588633998295834374639822117020159143485878569329742355372234945155356505826309236855960429115016162119308543393017126478503
  ( 156 digits)
SNFS difficulty: 171 digits.
Divisors found:
 r1=132352806904194982440252584077327919 (pp36)
 r2=4231816069054994431419448863751815900867250965737302061112758210469770212260400845121738062490712318340173811038583094537 (pp121)
Version: Msieve-1.39
Total time: 36.83 hours.
Scaled time: 64.05 units (timescale=1.739).
Factorization parameters were as follows:
n: 560092735041705137562298026759894588633998295834374639822117020159143485878569329742355372234945155356505826309236855960429115016162119308543393017126478503
m: 10000000000000000000000000000000000
deg: 5
c5: 16
c0: 17
skew: 1.01
type: snfs
lss: 1
rlim: 5000000
alim: 5000000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5000000/5000000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2500000, 4400001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 812802 x 813050
Total sieving time: 36.83 hours.
Total relation processing time: 0.00 hours.
Matrix solve time: 0.00 hours.
Time per square root: 0.00 hours.
Prototype def-par.txt line would be:
snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,52,52,2.4,2.4,100000
total time: 36.83 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10172+173

c157

name 名前Dmitry Domanov
date 日付April 29, 2010 09:07:28 UTC 2010 年 4 月 29 日 (木) 18 時 7 分 28 秒 (日本時間)
composite number 合成数
1900017501371451975615978916150867385615602976232656619384913774880986307386650953833778414092499698171201602905016682042100738842097090021157006039543135889<157>
prime factors 素因数
7475142851726469782122926936014282587045881755315097380812193130494855004509<76>
254178085831847506586371995486904416355932332421745267965622162250179955540826821<81>
factorization results 素因数分解の結果
Number: sss157
N=1900017501371451975615978916150867385615602976232656619384913774880986307386650953833778414092499698171201602905016682042100738842097090021157006039543135889
  ( 157 digits)
SNFS difficulty: 173 digits.
Divisors found:
 r1=7475142851726469782122926936014282587045881755315097380812193130494855004509 (pp76)
 r2=254178085831847506586371995486904416355932332421745267965622162250179955540826821 (pp81)
Version: Msieve-1.40
Total time: 58.03 hours.
Scaled time: 108.64 units (timescale=1.872).
Factorization parameters were as follows:
n: 1900017501371451975615978916150867385615602976232656619384913774880986307386650953833778414092499698171201602905016682042100738842097090021157006039543135889
m: 20000000000000000000000000000000000
deg: 5
c5: 50
c0: 17
skew: 0.81
type: snfs
lss: 1
rlim: 5400000
alim: 5400000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5400000/5400000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2700000, 5700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 748871 x 749097
Total sieving time: 57.10 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 0.69 hours.
Time per square root: 0.14 hours.
Prototype def-par.txt line would be:
snfs,173.000,5,0,0,0,0,0,0,0,0,5400000,5400000,27,27,52,52,2.4,2.4,100000
total time: 58.03 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS/msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
403e62318Wataru SakaiAugust 17, 2009 00:45:48 UTC 2009 年 8 月 17 日 (月) 9 時 45 分 48 秒 (日本時間)
4511e60--
5043e61140 / 7465yoyo@homeJanuary 29, 2010 13:36:38 UTC 2010 年 1 月 29 日 (金) 22 時 36 分 38 秒 (日本時間)

16×10173+173

c127

name 名前ruffenach timothee
date 日付July 8, 2010 18:57:50 UTC 2010 年 7 月 9 日 (金) 3 時 57 分 50 秒 (日本時間)
composite number 合成数
2796490576983306412238605703185349119466521441113536816787777929042298825857736724380715399322519889546279084834597797123171663<127>
prime factors 素因数
144049431048128367586385287983065321099991763<45>
19413409387566207804936323300645004363743948867033226497003080564976254075337377301<83>
factorization results 素因数分解の結果
Number: 53339_173/53339_173
N=2796490576983306412238605703185349119466521441113536816787777929042298825857736724380715399322519889546279084834597797123171663
( 127 digits)
SNFS difficulty: 174 digits.
Divisors found:
r1=144049431048128367586385287983065321099991763 (pp45)
r4=19413409387566207804936323300645004363743948867033226497003080564976254075337377301 (pp83)
Version: Msieve v. 1.44
Total time: 72.41 hours.
Scaled time: 151.18 units (timescale=2.088).
Factorization parameters were as follows:
n: 2796490576983306412238605703185349119466521441113536816787777929042298825857736724380715399322519889546279084834597797123171663
m: 20000000000000000000000000000000000
deg: 5
c5: 500
c0: 17
skew: 0.51
type: snfs
lss: 1
rlim: 5600000
alim: 5600000
lpbr: 27
lpba: 27
mfbr: 52
mfba: 52
rlambda: 2.4
alambda: 2.4
Factor base limits: 5600000/5600000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 52/52
Sieved rational special-q in [2800000, 5700001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1038672 x 1038897
Total sieving time: 67.00 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 4.19 hours.
Time per square root: 1.13 hours.
Prototype def-par.txt line would be:
snfs,174.000,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000
total time: 72.41 hours.
--------- CPU info (if available) ----------
[ 0.075712] CPU0: Intel(R) Core(TM)2 Quad CPU Q8300 @ 2.50GHz stepping 0a
[ 0.000000] Memory: 3346268k/3407488k available (4679k kernel code, 59632k reserved, 2143k data, 576k init, 2498184k highmem)
[ 0.004005] Calibrating delay loop (skipped), value calculated using timer frequency.. 4988.05 BogoMIPS (lpj=9976116)
[ 0.348022] Total of 4 processors activated (24533.21 BogoMIPS).

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6968118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
400Lionel DebrouxSeptember 26, 2009 15:50:15 UTC 2009 年 9 月 27 日 (日) 0 時 50 分 15 秒 (日本時間)
450Lionel DebrouxSeptember 27, 2009 05:45:30 UTC 2009 年 9 月 27 日 (日) 14 時 45 分 30 秒 (日本時間)
403e62086Wataru SakaiDecember 6, 2009 06:20:22 UTC 2009 年 12 月 6 日 (日) 15 時 20 分 22 秒 (日本時間)

16×10174+173

c151

name 名前Warut Roonguthai
date 日付October 5, 2011 02:38:33 UTC 2011 年 10 月 5 日 (水) 11 時 38 分 33 秒 (日本時間)
composite number 合成数
6772988640831810761133832259671281653208383168192242932359590157725626255081328942951868633712768958166600222596539176705519596004149599190092067965479<151>
prime factors 素因数
385545523502209088320480087422335615031306396577012834518164491<63>
17567286423941589543244105368512637919253171647277396459339365886408020840649624703731669<89>
factorization results 素因数分解の結果
N = 6772988640831810761133832259671281653208383168192242932359590157725626255081328942951868633712768958166600222596539176705519596004149599190092067965479 (151 digits)
SNFS difficulty: 177 digits.
Divisors found:
r1=385545523502209088320480087422335615031306396577012834518164491 (pp63)
r2=17567286423941589543244105368512637919253171647277396459339365886408020840649624703731669 (pp89)
Version: Msieve v. 1.48
Total time: 25.29 hours.
Factorization parameters were as follows:
name: (16*10^174+17)/3
n: 6772988640831810761133832259671281653208383168192242932359590157725626255081328942951868633712768958166600222596539176705519596004149599190092067965479
Y0: 200000000000000000000000000000000000
Y1: -1
c0: 340
c1: 0
c2: 0
c3: 0
c4: 0
c5: 1
skew: 3.21
type: snfs
Factor base limits: 6200000/6200000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19616785
Relations: 2108626 relations
Pruned matrix : 1190519 x 1190746
Polynomial selection time: 0.00 hours.
Total sieving time: 23.27 hours.
Total relation processing time: 0.10 hours.
Matrix solve time: 1.79 hours.
time per square root: 0.13 hours.
Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,6200000,6200000,28,28,55,55,2.5,2.5,100000
total time: 25.29 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6528118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
410Ignacio SantosApril 24, 2010 13:45:25 UTC 2010 年 4 月 24 日 (土) 22 時 45 分 25 秒 (日本時間)
403e62206150Ignacio SantosApril 24, 2010 13:45:25 UTC 2010 年 4 月 24 日 (土) 22 時 45 分 25 秒 (日本時間)
2056Wataru SakaiMay 27, 2010 06:06:45 UTC 2010 年 5 月 27 日 (木) 15 時 6 分 45 秒 (日本時間)

16×10176+173

c139

name 名前Warut Roonguthai
date 日付January 28, 2012 00:55:48 UTC 2012 年 1 月 28 日 (土) 9 時 55 分 48 秒 (日本時間)
composite number 合成数
1131905207923056641651726315668408475303456099173504830081182199731584458249757330662247336582032886699580080119502608826443650577822851291<139>
prime factors 素因数
59054424039730788910008465375997802486775518568846042209856986046893<68>
19167153457656796612220368944427452642345819029796719445025969838501287<71>
factorization results 素因数分解の結果
N = 1131905207923056641651726315668408475303456099173504830081182199731584458249757330662247336582032886699580080119502608826443650577822851291 (139 digits)
SNFS difficulty: 178 digits.
Divisors found:
r1=59054424039730788910008465375997802486775518568846042209856986046893 (pp68)
r2=19167153457656796612220368944427452642345819029796719445025969838501287 (pp71)
Version: Msieve v. 1.48
Total time: 26.65 hours.
Factorization parameters were as follows:
name: (16*10^176+17)/3
n: 1131905207923056641651726315668408475303456099173504830081182199731584458249757330662247336582032886699580080119502608826443650577822851291
Y0: 200000000000000000000000000000000000
Y1: -1
c0: 17
c1: 0
c2: 0
c3: 0
c4: 0
c5: 5
skew: 1.28
type: snfs
Factor base limits: 6500000/6500000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 19906273
Relations: 2113914 relations
Pruned matrix : 1207048 x 1207174
Polynomial selection time: 0.00 hours.
Total sieving time: 24.57 hours.
Total relation processing time: 0.12 hours.
Matrix solve time: 1.86 hours.
time per square root: 0.11 hours.
Prototype def-par.txt line would be: snfs,178,5,0,0,0,0,0,0,0,0,6500000,6500000,28,28,55,55,2.5,2.5,100000
total time: 26.65 hours.
Intel64 Family 6 Model 42 Stepping 7, GenuineIntel
Windows-7-6.1.7601-SP1
processors: 4, speed: 2.29GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
403e690Rich DickersonMarch 11, 2011 13:29:42 UTC 2011 年 3 月 11 日 (金) 22 時 29 分 42 秒 (日本時間)
4511e6650 / 4455Rich DickersonMarch 12, 2011 13:53:59 UTC 2011 年 3 月 12 日 (土) 22 時 53 分 59 秒 (日本時間)

16×10178+173

c150

name 名前Serge Batalov
date 日付March 19, 2009 16:44:20 UTC 2009 年 3 月 20 日 (金) 1 時 44 分 20 秒 (日本時間)
composite number 合成数
195594271810763187214130481539550596237256145861255969792070487699943291997011110477173180345344178551305657175900692429510960922384769648646215420107<150>
prime factors 素因数
8027904486080268433980556857271<31>
24364299818203828966518485563165406695156284904992604114161373746380016498564692263558254965206297584342752781795141517<119>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1159831445
Step 1 took 8153ms
Step 2 took 8392ms
********** Factor found in step 2: 8027904486080268433980556857271
Found probable prime factor of 31 digits: 8027904486080268433980556857271
Probable prime cofactor  has 119 digits
software ソフトウェア
GMP-ECM 6.2.2

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10179+173

c179

name 名前Serge Batalov
date 日付March 19, 2009 19:21:49 UTC 2009 年 3 月 20 日 (金) 4 時 21 分 49 秒 (日本時間)
composite number 合成数
17204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075268817204301075269<179>
prime factors 素因数
4352766929105745465096103339<28>
composite cofactor 合成数の残り
3952497653901114378182237986523852819615423623387147757833038683132838563176883622310981910798946192505014288043510847790520570489159500579928667953871<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1608146848
Step 1 took 11397ms
Step 2 took 10308ms
********** Factor found in step 2: 4352766929105745465096103339
Found probable prime factor of 28 digits: 4352766929105745465096103339
Composite cofactor has 151 digits
software ソフトウェア
GMP-ECM 6.2.2

c151

name 名前Rich Dickerson
date 日付March 11, 2011 13:58:18 UTC 2011 年 3 月 11 日 (金) 22 時 58 分 18 秒 (日本時間)
composite number 合成数
3952497653901114378182237986523852819615423623387147757833038683132838563176883622310981910798946192505014288043510847790520570489159500579928667953871<151>
prime factors 素因数
14128103810528889021503484074802867683<38>
composite cofactor 合成数の残り
279761368327116762729480071709170584208477640610860162466764249038315221648105410988204037442754611926909198611237<114>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=290697744
Step 1 took 41368ms
Step 2 took 15873ms
********** Factor found in step 2: 14128103810528889021503484074802867683
Found probable prime factor of 38 digits: 14128103810528889021503484074802867683
Composite cofactor 279761368327116762729480071709170584208477640610860162466764249038315221648105410988204037442754611926909198611237 has 114 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHz, Mac OS X

c114

name 名前Dmitry Domanov
date 日付March 14, 2011 07:09:24 UTC 2011 年 3 月 14 日 (月) 16 時 9 分 24 秒 (日本時間)
composite number 合成数
279761368327116762729480071709170584208477640610860162466764249038315221648105410988204037442754611926909198611237<114>
prime factors 素因数
11921434964334620606230387696275557297228184691490293<53>
23467088413775638106815440619794729381929381523807685830980209<62>
factorization results 素因数分解の結果
N=279761368327116762729480071709170584208477640610860162466764249038315221648105410988204037442754611926909198611237
  ( 114 digits)
Divisors found:
 r1=11921434964334620606230387696275557297228184691490293 (pp53)
 r2=23467088413775638106815440619794729381929381523807685830980209 (pp62)
Version: Msieve-1.40
Total time: 23.20 hours.
Scaled time: 43.55 units (timescale=1.877).
Factorization parameters were as follows:
name: t114
n: 279761368327116762729480071709170584208477640610860162466764249038315221648105410988204037442754611926909198611237
skew: 34437.50
# norm 1.83e+015
c5: 9000
c4: -1647978978
c3: 12993213446009
c2: 1312589673178575907
c1: 20818680319266911251335
c0: 115268213177320904651824515
# alpha -4.95
Y1: 8788345991
Y0: -7916059766102087382352
# Murphy_E 6.35e-010
# M 58765331137312428400480256008760029216148976042840363575541078142239108012987764412800422501363093746577818047207
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2850001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 527835 x 528061
Polynomial selection time: 2.39 hours.
Total sieving time: 19.87 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.79 hours.
Time per square root: 0.09 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 23.20 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 652Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
403e690 / 2318Rich DickersonMarch 11, 2011 13:31:25 UTC 2011 年 3 月 11 日 (金) 22 時 31 分 25 秒 (日本時間)

16×10181+173

c164

name 名前Ben Meekins
date 日付March 19, 2014 13:04:29 UTC 2014 年 3 月 19 日 (水) 22 時 4 分 29 秒 (日本時間)
composite number 合成数
51377840131179069063037045369533096160319091370585541835673623214953699704015303845461313460012166006561866435812520754854866266171601135870386936748943121024023339<164>
prime factors 素因数
119121484621689498602410926670199765568953092881832918066700236210702171<72>
431306244161972548846783226466005345607492202238907702659205853876310957790012287683022877809<93>
factorization results 素因数分解の結果
Number: 53339_181
N = 51377840131179069063037045369533096160319091370585541835673623214953699704015303845461313460012166006561866435812520754854866266171601135870386936748943121024023339 (164 digits)
SNFS difficulty: 183 digits.
Divisors found:
r1=119121484621689498602410926670199765568953092881832918066700236210702171 (pp72)
r2=431306244161972548846783226466005345607492202238907702659205853876310957790012287683022877809 (pp93)
Version: Msieve v. 1.52 (SVN 959M)
Total time: 6.65 hours.
Factorization parameters were as follows:
n: 51377840131179069063037045369533096160319091370585541835673623214953699704015303845461313460012166006561866435812520754854866266171601135870386936748943121024023339
m: 2000000000000000000000000000000000000
deg: 5
c5: 5
c0: 17
skew: 1.28
# Murphy_E = 1.29e-10
type: snfs
lss: 1
rlim: 7600000
alim: 7600000
lpbr: 28
lpba: 28
mfbr: 53
mfba: 53
rlambda: 2.5
alambda: 2.5
Factor base limits: 7600000/7600000
Large primes per side: 3
Large prime bits: 28/28
Sieved rational special-q in [0, 0)
Total raw relations: 18450524
Relations: 2262828 relations
Pruned matrix : 1336402 x 1336635
Polynomial selection time: 0.00 hours.
Total sieving time: 5.97 hours.
Total relation processing time: 0.09 hours.
Matrix solve time: 0.56 hours.
time per square root: 0.03 hours.
Prototype def-par.txt line would be: snfs,183,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,200000
total time: 6.65 hours.
Intel64 Family 6 Model 62 Stepping 4, GenuineIntel
Windows-7-6.1.7600
processors: 12, speed: 3.40GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
403e690Rich DickersonMarch 12, 2011 13:54:36 UTC 2011 年 3 月 12 日 (土) 22 時 54 分 36 秒 (日本時間)
4511e61500 / 4455650Rich DickersonMarch 12, 2011 13:54:36 UTC 2011 年 3 月 12 日 (土) 22 時 54 分 36 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:05:55 UTC 2013 年 11 月 9 日 (土) 2 時 5 分 55 秒 (日本時間)

16×10184+173

c146

name 名前Jo Yeong Uk
date 日付August 14, 2014 14:04:58 UTC 2014 年 8 月 14 日 (木) 23 時 4 分 58 秒 (日本時間)
composite number 合成数
37339244051162342518523017149026561838064757047439971003533625119903218958584452093265810479836245848272135021497942400522796505601478560436783369<146>
prime factors 素因数
612515855190950858054702203609992517384182431666834477417161<60>
60960453080062542536930184185020434764252912947411731186409540043998389616046631793729<86>
factorization results 素因数分解の結果
Number: 53339_184
N=37339244051162342518523017149026561838064757047439971003533625119903218958584452093265810479836245848272135021497942400522796505601478560436783369
  ( 146 digits)
SNFS difficulty: 185 digits.
Divisors found:
 r1=612515855190950858054702203609992517384182431666834477417161
 r2=60960453080062542536930184185020434764252912947411731186409540043998389616046631793729
Version: 
Total time: 53.61 hours.
Scaled time: 281.94 units (timescale=5.259).
Factorization parameters were as follows:
n: 37339244051162342518523017149026561838064757047439971003533625119903218958584452093265810479836245848272135021497942400522796505601478560436783369
m: 10000000000000000000000000000000000000
deg: 5
c5: 8
c0: 85
skew: 1.60
# Murphy_E = 8.466e-11
type: snfs
lss: 1
rlim: 8000000
alim: 8000000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8000000/8000000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4000000, 6300001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19483523
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1541203 x 1541451
Total sieving time: 49.43 hours.
Total relation processing time: 1.20 hours.
Matrix solve time: 2.90 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
snfs,185,5,0,0,0,0,0,0,0,0,8000000,8000000,28,28,54,54,2.5,2.5,100000
total time: 53.61 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.41 BogoMIPS (lpj=3400205)
Total of 12 processors activated (81604.92 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
403e690Rich DickersonMarch 11, 2011 15:32:50 UTC 2011 年 3 月 12 日 (土) 0 時 32 分 50 秒 (日本時間)
4511e6950 / 4455650Rich DickersonMarch 12, 2011 13:54:14 UTC 2011 年 3 月 12 日 (土) 22 時 54 分 14 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:02 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 2 秒 (日本時間)

16×10185+173

c140

name 名前Jo Yeong Uk
date 日付October 17, 2014 11:34:28 UTC 2014 年 10 月 17 日 (金) 20 時 34 分 28 秒 (日本時間)
composite number 合成数
48739681304794265264414997707999005684266976089055447411803972478478786815364835331668338935556044881149806200876980222879985028599175359449<140>
prime factors 素因数
27081108992429861195459928877120613131307857106593251658343<59>
1799766815990392043297318226198560493747963664052930873186835402544448139601194943<82>
factorization results 素因数分解の結果
Number: 53339_185
N=48739681304794265264414997707999005684266976089055447411803972478478786815364835331668338935556044881149806200876980222879985028599175359449
  ( 140 digits)
SNFS difficulty: 186 digits.
Divisors found:
 r1=27081108992429861195459928877120613131307857106593251658343
 r2=1799766815990392043297318226198560493747963664052930873186835402544448139601194943
Version: 
Total time: 54.35 hours.
Scaled time: 278.51 units (timescale=5.124).
Factorization parameters were as follows:
n: 48739681304794265264414997707999005684266976089055447411803972478478786815364835331668338935556044881149806200876980222879985028599175359449
m: 20000000000000000000000000000000000000
deg: 5
c5: 1
c0: 34
skew: 2.02
# Murphy_E = 8.765e-11
type: snfs
lss: 1
rlim: 8400000
alim: 8400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
Factor base limits: 8400000/8400000
Large primes per side: 3
Large prime bits: 28/28
Max factor residue bits: 54/54
Sieved rational special-q in [4200000, 6500001)
Primes: rational ideals reading, algebraic ideals reading, 
Relations: 19413481
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 1624174 x 1624422
Total sieving time: 49.36 hours.
Total relation processing time: 1.18 hours.
Matrix solve time: 3.29 hours.
Time per square root: 0.52 hours.
Prototype def-par.txt line would be:
snfs,186,5,0,0,0,0,0,0,0,0,8400000,8400000,28,28,54,54,2.5,2.5,100000
total time: 54.35 hours.
 --------- CPU info (if available) ----------
CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04
Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init)
Calibrating delay loop (skipped), value calculated using timer frequency.. 6799.70 BogoMIPS (lpj=3399852)
Total of 12 processors activated (81596.44 BogoMIPS).
software ソフトウェア
GGNFS / Msieve v1.39
execution environment 実行環境
Core i7-4930K

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
403e690Rich DickersonMarch 12, 2011 15:18:12 UTC 2011 年 3 月 13 日 (日) 0 時 18 分 12 秒 (日本時間)
4511e6950 / 4455650Rich DickersonMarch 13, 2011 01:33:03 UTC 2011 年 3 月 13 日 (日) 10 時 33 分 3 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:02 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 2 秒 (日本時間)

16×10187+173

c165

name 名前Rich Dickerson
date 日付March 13, 2011 01:32:45 UTC 2011 年 3 月 13 日 (日) 10 時 32 分 45 秒 (日本時間)
composite number 合成数
105209764485551394726850254615255443019396763868741994827576337580212726973471598148885668698921885547380139654334970755455753503753032872972655396582750279433095701<165>
prime factors 素因数
521227202780397685977677145725137291703<39>
composite cofactor 合成数の残り
201850102842537449828218821227393254604672116834359333960002676708724828245773405441034810522098219881833228728793497834437267<126>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1677220840
Step 1 took 48383ms
Step 2 took 17949ms
********** Factor found in step 2: 521227202780397685977677145725137291703
Found probable prime factor of 39 digits: 521227202780397685977677145725137291703
Composite cofactor 201850102842537449828218821227393254604672116834359333960002676708724828245773405441034810522098219881833228728793497834437267 has 126 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHz, Mac OS X

c126

name 名前Erik Branger
date 日付May 17, 2011 05:21:40 UTC 2011 年 5 月 17 日 (火) 14 時 21 分 40 秒 (日本時間)
composite number 合成数
201850102842537449828218821227393254604672116834359333960002676708724828245773405441034810522098219881833228728793497834437267<126>
prime factors 素因数
30484131410450284153418840291351454536082817<44>
6621481193764342907827199662605256187096339129590593810981850302713032429597880851<82>
factorization results 素因数分解の結果
Number: 53339_187
N = 201850102842537449828218821227393254604672116834359333960002676708724828245773405441034810522098219881833228728793497834437267 (126 digits)
Divisors found:
r1=30484131410450284153418840291351454536082817 (pp44)
r2=6621481193764342907827199662605256187096339129590593810981850302713032429597880851 (pp82)
Version: Msieve v. 1.48
Total time: 162.31 hours.
Factorization parameters were as follows:
n: 201850102842537449828218821227393254604672116834359333960002676708724828245773405441034810522098219881833228728793497834437267
Y0: -1923399692689727412377814
Y1: 38837139425381
c0: -40445558958680989112921695435
c1: -4698498712024181709612247
c2: 6421463530604086951
c3: 650042369983963
c4: -735217140
c5: 7668
skew: 117470.96 
type: gnfs
Factor base limits: 5800000/5800000
Large primes per side: 3
Large prime bits: 28/28
Sieved algebraic special-q in [2900000, 6800000)
Relations: 20426815
Relations in full relation-set: 1698512 relations
Pruned matrix : 1007362 x 1007587
Polynomial selection time: 8.64 hours.
Total sieving time: 149.38 hours.
Total relation processing time: 0.35 hours.
Matrix solve time: 3.60 hours.
time per square root: 0.33 hours.
Prototype def-par.txt line would be: gnfs,125,5,65,2000,1e-05,0.28,250,20,50000,3600,5800000,5800000,28,28,55,55,2.5,2.5,100000
total time: 162.31 hours.
 --------- CPU info (if available) ----------
software ソフトウェア
GGNFS, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
403e697290Rich DickersonMarch 12, 2011 15:18:05 UTC 2011 年 3 月 13 日 (日) 0 時 18 分 5 秒 (日本時間)
90Markus TervoorenMarch 17, 2011 23:50:44 UTC 2011 年 3 月 18 日 (金) 8 時 50 分 44 秒 (日本時間)
112Andreas TeteMarch 24, 2011 22:13:52 UTC 2011 年 3 月 25 日 (金) 7 時 13 分 52 秒 (日本時間)
680Wataru SakaiApril 16, 2011 05:31:33 UTC 2011 年 4 月 16 日 (土) 14 時 31 分 33 秒 (日本時間)
4511e6390 / 4260Rich DickersonMarch 13, 2011 01:31:49 UTC 2011 年 3 月 13 日 (日) 10 時 31 分 49 秒 (日本時間)

16×10188+173

c146

name 名前Rich Dickerson
date 日付March 13, 2011 15:33:31 UTC 2011 年 3 月 14 日 (月) 0 時 33 分 31 秒 (日本時間)
composite number 合成数
24122796176827026821781618994731670505469670673403038822602909794773469234532659469060787682510168534045592613771159699147546559340491611240358311<146>
prime factors 素因数
739577730207584794588676369285460608213<39>
composite cofactor 合成数の残り
32616985600764691178228237988630671537043328016728033177461757623570492081416894235869173718404564248427147<107>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3982855263
Step 1 took 39696ms
Step 2 took 15823ms
********** Factor found in step 2: 739577730207584794588676369285460608213
Found probable prime factor of 39 digits: 739577730207584794588676369285460608213
Composite cofactor 32616985600764691178228237988630671537043328016728033177461757623570492081416894235869173718404564248427147 has 107 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHz, Mac OS X

c107

name 名前Dmitry Domanov
date 日付March 14, 2011 17:22:11 UTC 2011 年 3 月 15 日 (火) 2 時 22 分 11 秒 (日本時間)
composite number 合成数
32616985600764691178228237988630671537043328016728033177461757623570492081416894235869173718404564248427147<107>
prime factors 素因数
331326619534903578434889075049880328482829709703983<51>
98443601200985474160782608484365833182349565889311371109<56>
factorization results 素因数分解の結果
N=326169856007646911782282379886306715370433280167280331774617576235704920814168                                                                              94235869173718404564248427147
  ( 107 digits)
Divisors found:
 r1=331326619534903578434889075049880328482829709703983 (pp51)
 r2=98443601200985474160782608484365833182349565889311371109 (pp56)
Version: Msieve v. 1.47
Total time: 1.35 hours.
Scaled time: 1.97 units (timescale=1.459).
Factorization parameters were as follows:
name: 107
n: 32616985600764691178228237988630671537043328016728033177461757623570492081416                                                                              894235869173718404564248427147
skew: 25923.47
# norm 6.83e+14
c5: 17100
c4: -1034394570
c3: -34771231555709
c2: 310216409615660453
c1: 11111093646456423216477
c0: -12913958991400938650958615
# alpha -6.92
Y1: 39848011063
Y0: -285818459953518289436
# Murphy_E 1.72e-09
# M 3198316927277523490946940500725471581563954247708107398919544018821247428636                                                                              1249060462003795161537426770833
type: gnfs
rlim: 2500000
alim: 2500000
lpbr: 26
lpba: 26
mfbr: 49
mfba: 49
rlambda: 2.6
alambda: 2.6
qintsize: 150000
Factor base limits: 2500000/2500000
Large primes per side: 3
Large prime bits: 26/26
Max factor residue bits: 49/49
Sieved algebraic special-q in [1250000, 2150001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 286032 x 286262
Polynomial selection time: 0.98 hours.
Total sieving time: 0.00 hours.
Total relation processing time: 0.06 hours.
Matrix solve time: 0.07 hours.
Time per square root: 0.23 hours.
Prototype def-par.txt line would be:
gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000                                                                              ,26,26,49,49,2.6,2.6,150000
total time: 1.35 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
403e690Rich DickersonMarch 13, 2011 15:32:30 UTC 2011 年 3 月 14 日 (月) 0 時 32 分 30 秒 (日本時間)
4511e6670 / 4455Rich DickersonMarch 13, 2011 15:32:30 UTC 2011 年 3 月 14 日 (月) 0 時 32 分 30 秒 (日本時間)

16×10189+173

c150

name 名前Rich Dickerson
date 日付March 13, 2011 15:35:01 UTC 2011 年 3 月 14 日 (月) 0 時 35 分 1 秒 (日本時間)
composite number 合成数
287258675794121359354192319976347746478404044602967406948922994040304825789916821851314806327672764765029001626867487360662077914950476811322834967107<150>
prime factors 素因数
443990742740834678476881886198658257<36>
composite cofactor 合成数の残り
646992489124484687333181389061239674998670113013481359075769491270654335425422925198570799305122173381211974628051<114>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1024742655
Step 1 took 11014ms
Step 2 took 4909ms
********** Factor found in step 2: 443990742740834678476881886198658257
Found probable prime factor of 36 digits: 443990742740834678476881886198658257
Composite cofactor 646992489124484687333181389061239674998670113013481359075769491270654335425422925198570799305122173381211974628051 has 114 digits
software ソフトウェア
GMP-ECM 6.3 [config GMP 5.0.1] [ECM]
execution environment 実行環境
C2D, 3 GHz, Mac OS X

c114

name 名前Dmitry Domanov
date 日付March 14, 2011 23:00:15 UTC 2011 年 3 月 15 日 (火) 8 時 0 分 15 秒 (日本時間)
composite number 合成数
646992489124484687333181389061239674998670113013481359075769491270654335425422925198570799305122173381211974628051<114>
prime factors 素因数
4925848027676212865789857064262673383039420410149<49>
131346417000547579070086383872104205431423103506962953557552731799<66>
factorization results 素因数分解の結果
Number: t114-1
N=646992489124484687333181389061239674998670113013481359075769491270654335425422925198570799305122173381211974628051
  ( 114 digits)
Divisors found:
 r1=4925848027676212865789857064262673383039420410149 (pp49)
 r2=131346417000547579070086383872104205431423103506962953557552731799 (pp66)
Version: Msieve-1.40
Total time: 24.59 hours.
Scaled time: 46.70 units (timescale=1.899).
Factorization parameters were as follows:
name: t114-1
n: 646992489124484687333181389061239674998670113013481359075769491270654335425422925198570799305122173381211974628051
skew: 9156.92
# norm 2.70e+014
c5: 148980
c4: 518721652
c3: -29908880877913
c2: 39946970698471051
c1: 1153614598069806128425
c0: -16745747851178223062042
# alpha -3.89
Y1: 804549707539
Y0: -5340159248081968141881
# Murphy_E 6.22e-010
# M 238928570187246152055287046816205647200892054462006413135917802587787600548232141552153523804819840132559983322568
type: gnfs
rlim: 3500000
alim: 3500000
lpbr: 27
lpba: 27
mfbr: 50
mfba: 50
rlambda: 2.6
alambda: 2.6
qintsize: 100000
Factor base limits: 3500000/3500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 50/50
Sieved algebraic special-q in [1750000, 2950001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 490494 x 490720
Polynomial selection time: 2.39 hours.
Total sieving time: 21.34 hours.
Total relation processing time: 0.07 hours.
Matrix solve time: 0.71 hours.
Time per square root: 0.08 hours.
Prototype def-par.txt line would be:
gnfs,113,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000
total time: 24.59 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
403e690 / 1145Rich DickersonMarch 13, 2011 15:33:48 UTC 2011 年 3 月 14 日 (月) 0 時 33 分 48 秒 (日本時間)
4511e6340 / 4455Rich DickersonMarch 13, 2011 15:33:48 UTC 2011 年 3 月 14 日 (月) 0 時 33 分 48 秒 (日本時間)

16×10191+173

c169

name 名前Robert Balfour
date 日付April 18, 2020 15:21:16 UTC 2020 年 4 月 19 日 (日) 0 時 21 分 16 秒 (日本時間)
composite number 合成数
2897711988204500582529643208963746501789668737601345238785080066303941014700921219573487133347645588387802062956736007897183522595765269421599501068318018004531063324799<169>
prime factors 素因数
49283399667976094829223746033453347565837086347<47>
58796917577246755875839888726504348201342301268727605790163976482817750587256305633860593126333391878137810040529908762717<122>
factorization results 素因数分解の結果
Sat 2020/04/18 13:44:19 UTC GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, --enable-asm-redc, --enable-assert] [ECM]
Sat 2020/04/18 13:44:19 UTC Input number is 2897711988204500582529643208963746501789668737601345238785080066303941014700921219573487133347645588387802062956736007897183522595765269421599501068318018004531063324799 (169 digits)
Sat 2020/04/18 13:44:19 UTC Run 2346 out of 4000:
Sat 2020/04/18 13:44:19 UTC Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:839212009
Sat 2020/04/18 13:44:19 UTC Step 1 took 16568ms
Sat 2020/04/18 13:44:19 UTC Step 2 took 7284ms
Sat 2020/04/18 13:44:19 UTC ********** Factor found in step 2: 49283399667976094829223746033453347565837086347
Sat 2020/04/18 13:44:19 UTC Found prime factor of 47 digits: 49283399667976094829223746033453347565837086347
Sat 2020/04/18 13:44:19 UTC Prime cofactor 58796917577246755875839888726504348201342301268727605790163976482817750587256305633860593126333391878137810040529908762717 has 122 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 24, 2011 13:38:26 UTC 2011 年 3 月 24 日 (木) 22 時 38 分 26 秒 (日本時間)
403e61610110Ignacio SantosMarch 24, 2011 13:38:26 UTC 2011 年 3 月 24 日 (木) 22 時 38 分 26 秒 (日本時間)
1500Dmitry DomanovNovember 15, 2013 20:36:39 UTC 2013 年 11 月 16 日 (土) 5 時 36 分 39 秒 (日本時間)
4511e61332 / 410532Ignacio SantosMarch 24, 2011 13:38:26 UTC 2011 年 3 月 24 日 (木) 22 時 38 分 26 秒 (日本時間)
1000Dmitry DomanovDecember 16, 2013 13:13:25 UTC 2013 年 12 月 16 日 (月) 22 時 13 分 25 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:03 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 3 秒 (日本時間)

16×10192+173

c139

name 名前Eric Jeancolas
date 日付April 5, 2019 22:07:18 UTC 2019 年 4 月 6 日 (土) 7 時 7 分 18 秒 (日本時間)
composite number 合成数
2062495633636676474453686501757455200753202343847177779473972047926211990864815172128390615420521769349339990254892298759595854298202169781<139>
prime factors 素因数
71390352947565225881588227528522695736264442449<47>
28890396930122168070466037404558715491514527880269725906250822374442936190408105195970399269<92>
factorization results 素因数分解の結果
11^2*6807641*1032396785516376356107*3040724202950414715084797*71390352947565225881588227528522695736264442449*28890396930122168070466037404558715491514527880269725906250822374442936190408105195970399269

Info:root: Using default parameter file ./parameters/factor/params.c140
Info:root: No database exists yet
Info:root: Created temporary directory /tmp/cado.cwgpdtz7
Info:Database: Opened connection to database /tmp/cado.cwgpdtz7/c140.db
Info:root: Set tasks.threads=12 based on detected logical cpus
Info:root: tasks.polyselect.threads = 2
Info:root: tasks.sieve.las.threads = 2
Info:root: slaves.scriptpath is /home/ng/cado-nfs-2.3.0
Info:root: Command line parameters: ./cado-nfs.py 2062495633636676474453686501757455200753202343847177779473972047926211990864815172128390615420521769349339990254892298759595854298202169781
Info:root: If this computation gets interrupted, it can be resumed with ./cado-nfs.py /tmp/cado.cwgpdtz7/c140.parameters_snapshot.0
Info:Server Launcher: Adding ng-All-Series to whitelist to allow clients on localhost to connect
Info:HTTP server: Using non-threaded HTTPS server
Info:HTTP server: Using whitelist: localhost,ng-All-Series
Info:Complete Factorization: Factoring 2062495633636676474453686501757455200753202343847177779473972047926211990864815172128390615420521769349339990254892298759595854298202169781
Info:HTTP server: serving at https://ng-All-Series:39801 (0.0.0.0)
Info:HTTP server: For debugging purposes, the URL above can be accessed if the server.only_registered=False parameter is added
Info:HTTP server: You can start additional cado-nfs-client.py scripts with parameters: --server=https://ng-All-Series:39801 --certsha1=1259c578e399540aaf3e9c4d459cf845eca7f742
Info:HTTP server: If you want to start additional clients, remember to add their hosts to server.whitelist
Info:Client Launcher: Starting client id localhost on host localhost
Info:Client Launcher: Starting client id localhost+2 on host localhost
Info:Client Launcher: Starting client id localhost+3 on host localhost
Info:Client Launcher: Starting client id localhost+4 on host localhost
Info:Client Launcher: Starting client id localhost+5 on host localhost
Info:Client Launcher: Starting client id localhost+6 on host localhost
Info:Client Launcher: Running clients: localhost (Host localhost, PID 17575), localhost+2 (Host localhost, PID 17578), localhost+3 (Host localhost, PID 17581), localhost+4 (Host localhost, PID 17584), localhost+5 (Host localhost, PID 17587), localhost+6 (Host localhost, PID 17590)
Info:Polynomial Selection (size optimized): Starting
Info:Polynomial Selection (size optimized): 0 polynomials in queue from previous run
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_0-4000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_4000-8000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_8000-12000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_12000-16000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_16000-20000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_20000-24000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_24000-28000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_28000-32000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_32000-36000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_36000-40000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_0-4000 to client localhost
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_4000-8000 to client localhost+2
Warning:HTTP server: 127.0.0.1 Connection error: [Errno 104] Connection reset by peer
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_8000-12000 to client localhost+3
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_12000-16000 to client localhost+4
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_16000-20000 to client localhost+5
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_20000-24000 to client localhost+6
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_40000-44000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_44000-48000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_48000-52000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_52000-56000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_56000-60000 to database
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_60000-64000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect1_24000-28000 to client localhost+6
Info:Polynomial Selection (size optimized): Adding workunit c140_polyselect1_64000-68000 to database
Info:Polynomial Selection (size optimized): Parsed 619 polynomials, added 277 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 38.760000
Info:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_20000-24000 as ok (1.0% => ETA Unknown)
...EJ: many similar lines
Info:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_388000-392000 as ok (99.0% => ETA Wed Apr  3 09:12:58 2019)
Info:Polynomial Selection (size optimized): Parsed 639 polynomials, added 1 to priority queue (has 100)
Info:Polynomial Selection (size optimized): Worst polynomial in queue now has lognorm 37.180000
Info:Polynomial Selection (size optimized): Marking workunit c140_polyselect1_396000-400000 as ok (100.0% => ETA Wed Apr  3 09:12:35 2019)
Info:Polynomial Selection (size optimized): Finished
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66024/41.530/49.788/55.060/0.974
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66024/40.720/44.503/50.430/1.190
Info:Polynomial Selection (size optimized): Total time: 63417.3
Info:Polynomial Selection (root optimized): Starting
Info:Polynomial Selection (root optimized): No polynomial was previously found
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_0 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_6 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_12 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_18 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_24 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_30 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_36 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_42 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_48 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_54 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_0 to client localhost+3
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_6 to client localhost+2
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_60 to database
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_66 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_12 to client localhost+4
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_72 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_18 to client localhost+5
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_78 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_24 to client localhost
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_84 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_30 to client localhost+6
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_90 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_polyselect2_36 to client localhost+2
Info:Polynomial Selection (root optimized): Adding workunit c140_polyselect2_96 to database
Info:Polynomial Selection (root optimized): New best polynomial from file /tmp/cado.cwgpdtz7/c140.upload/c140.polyselect2.mbzn4f1c.opt_6: Murphy E = 7.25e-10
Info:Polynomial Selection (root optimized): Marking workunit c140_polyselect2_6 as ok (4.0% => ETA Unknown)
...EJ: many similar lines
Info:Polynomial Selection (root optimized): Marking workunit c140_polyselect2_90 as ok (100.0% => ETA Wed Apr  3 09:24:23 2019)
Info:Polynomial Selection (root optimized): Finished, best polynomial from file /tmp/cado.cwgpdtz7/c140.upload/c140.polyselect2.ga_oyjcb.opt_18 has Murphy_E = 8.83e-10
Info:Polynomial Selection (root optimized): Best overall polynomial was 69-th in list after size optimization
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7159.32
Info:Polynomial Selection (root optimized): Rootsieve time: 7156.77
Info:Generate Factor Base: Starting
Info:Generate Factor Base: Finished
Info:Generate Factor Base: Total cpu/real time for makefb: 22.99/2.45844
Info:Generate Free Relations: Starting
Info:Generate Free Relations: Found 121709 free relations
Info:Generate Free Relations: Finished
Info:Generate Free Relations: Total cpu/real time for freerel: 362.79/34.0566
Info:Lattice Sieving: Starting
Info:Lattice Sieving: We want 25172582 relations
Info:Lattice Sieving: Adding workunit c140_sieving_10122724-10130000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10130000-10140000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10140000-10150000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10150000-10160000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10160000-10170000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10170000-10180000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10180000-10190000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10190000-10200000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10200000-10210000 to database
Info:Lattice Sieving: Adding workunit c140_sieving_10210000-10220000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10122724-10130000 to client localhost+2
Info:Lattice Sieving: Adding workunit c140_sieving_10220000-10230000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10130000-10140000 to client localhost+5
Info:Lattice Sieving: Adding workunit c140_sieving_10230000-10240000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10140000-10150000 to client localhost+6
Info:Lattice Sieving: Adding workunit c140_sieving_10240000-10250000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10150000-10160000 to client localhost+3
Info:Lattice Sieving: Adding workunit c140_sieving_10250000-10260000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10160000-10170000 to client localhost+4
Info:Lattice Sieving: Adding workunit c140_sieving_10260000-10270000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10170000-10180000 to client localhost
Info:Lattice Sieving: Adding workunit c140_sieving_10270000-10280000 to database
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_10180000-10190000 to client localhost+2
Info:Lattice Sieving: Adding workunit c140_sieving_10280000-10290000 to database
Info:Lattice Sieving: Found 13773 relations in '/tmp/cado.cwgpdtz7/c140.upload/c140.10122724-10130000.m391100_.gz', total is now 13773/25172582
Info:Lattice Sieving: Marking workunit c140_sieving_10122724-10130000 as ok (0.1% => ETA Unknown)
...EJ: many similar lines
Info:Lattice Sieving: Marking workunit c140_sieving_23540000-23550000 as ok (99.9% => ETA Fri Apr  5 06:29:46 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23610000-23620000 to client localhost+4
Info:Lattice Sieving: Adding workunit c140_sieving_23710000-23720000 to database
Info:Lattice Sieving: Found 15480 relations in '/tmp/cado.cwgpdtz7/c140.upload/c140.23550000-23560000.z_kx9wc0.gz', total is now 25166969/25172582
Info:Lattice Sieving: Marking workunit c140_sieving_23550000-23560000 as ok (100.0% => ETA Fri Apr  5 06:28:31 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23620000-23630000 to client localhost+6
Info:Lattice Sieving: Adding workunit c140_sieving_23720000-23730000 to database
Info:Lattice Sieving: Found 16196 relations in '/tmp/cado.cwgpdtz7/c140.upload/c140.23560000-23570000.c8r2kyb5.gz', total is now 25183165/25172582
Info:Lattice Sieving: Marking workunit c140_sieving_23560000-23570000 as ok (100.0% => ETA Fri Apr  5 06:28:42 2019)
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23630000-23640000 to client localhost+3
Info:Lattice Sieving: Adding workunit c140_sieving_23730000-23740000 to database
Info:Lattice Sieving: Reached target of 25172582 relations, now have 25183165
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25183165
Info:Lattice Sieving: Average J: 3786.9 for 809602 special-q, max bucket fill: 0.652436
Info:Lattice Sieving: Total CPU time: 1.87297e+06s
Info:Filtering - Duplicate Removal, splitting pass: Starting
Info:Filtering - Duplicate Removal, splitting pass: Splitting 1345 new files
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23640000-23650000 to client localhost+2
Info:Filtering - Duplicate Removal, splitting pass: Relations per slice: 0: 12586295, 1: 12596870
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 145.47/256.43
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 256.2s
Info:Filtering - Duplicate Removal, removal pass: Starting
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23650000-23660000 to client localhost+5
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23660000-23670000 to client localhost
Info:Filtering - Duplicate Removal, removal pass: 10567871 unique relations remain on slice 0
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23670000-23680000 to client localhost+4
Info:Filtering - Duplicate Removal, removal pass: 10577042 unique relations remain on slice 1
Info:Filtering - Duplicate Removal, removal pass: Of 25183165 newly added relations 21144913 were unique (ratio 0.839645)
Info:Filtering - Duplicate Removal, removal pass: 21144913 unique relations remain in total
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 595.65/394.801
Info:Filtering - Singleton removal: Starting
Info:Filtering - Singleton removal: Reading 21144913 unique and 121709 free relations, total 21266622
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23680000-23690000 to client localhost+6
Info:HTTP server: 127.0.0.1 Sending workunit c140_sieving_23690000-23700000 to client localhost+3
Info:Filtering - Singleton removal: After purge, 8040865 relations with 8040705 primes remain with weight 152377739 and excess 160
Info:Filtering - Singleton removal: Have enough relations
Info:HTTP server: Got notification to stop serving Workunits
Info:Lattice Sieving: Cancelling remaining workunits
Info:Client Launcher: Stopped client localhost (Host localhost, PID 17575)
Info:Client Launcher: Stopped client localhost+2 (Host localhost, PID 17578)
Info:Client Launcher: Stopped client localhost+3 (Host localhost, PID 17581)
Info:Client Launcher: Stopped client localhost+4 (Host localhost, PID 17584)
Info:Client Launcher: Stopped client localhost+5 (Host localhost, PID 17587)
Info:Client Launcher: Stopped client localhost+6 (Host localhost, PID 17590)
Info:Filtering - Singleton removal: Total cpu/real time for purge: 310.96/255.655
Info:Filtering - Merging: Starting
Info:Filtering - Merging: Merged matrix has 2027292 rows and total weight 344639826 (170.0 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 1119.41/1018.55
Info:Filtering - Merging: Total cpu/real time for replay: 78.06/61.8448
Info:Linear Algebra: Starting
Info:Linear Algebra: krylov: N=1000 ; ETA (N=64000): Fri Apr  5 11:21:20 2019 [0.236 s/iter]
Info:Linear Algebra: krylov: N=2000 ; ETA (N=64000): Fri Apr  5 11:23:36 2019 [0.238 s/iter]
...EJ: many similar linesInfo:Linear Algebra: krylov: N=63000 ; ETA (N=64000): Fri Apr  5 11:30:30 2019 [0.245 s/iter]
Info:Linear Algebra: krylov: N=64000 ; ETA (N=64000): Fri Apr  5 11:30:32 2019 [0.245 s/iter]
Info:Linear Algebra: lingen ETA: Fri Apr  5 11:30:50 2019
Info:Linear Algebra: lingen ETA: Fri Apr  5 11:34:18 2019
...EJ: many similar linesInfo:Linear Algebra: lingen ETA: Fri Apr  5 11:32:12 2019
Info:Linear Algebra: lingen ETA: Fri Apr  5 11:32:07 2019
Info:Linear Algebra: mksol: N=1000 ; ETA (N=32000): Fri Apr  5 13:49:55 2019 [0.258 s/iter]
Info:Linear Algebra: mksol: N=2000 ; ETA (N=32000): Fri Apr  5 13:51:05 2019 [0.260 s/iter]
...EJ: many similar lines
Info:Linear Algebra: mksol: N=31000 ; ETA (N=32000): Fri Apr  5 13:52:50 2019 [0.264 s/iter]
Info:Linear Algebra: mksol: N=32000 ; ETA (N=32000): Fri Apr  5 13:52:45 2019 [0.264 s/iter]
Info:Linear Algebra: Total cpu/real time for bwc: 261693/0.000156164
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 15678.73
Info:Linear Algebra: Lingen CPU time 848.07, WCT time 96.17
Info:Linear Algebra: Mksol: WCT time 8437.12
Info:Quadratic Characters: Starting
Info:Quadratic Characters: Total cpu/real time for characters: 87.41/19.6257
Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
...
Info:Square Root: finished
Info:Square Root: Factors: 28890396930122168070466037404558715491514527880269725906250822374442936190408105195970399269 71390352947565225881588227528522695736264442449
Info:Square Root: Total cpu/real time for sqrt: 6851.14/1455.13
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 65655.1
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 66024/41.530/49.788/55.060/0.974
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 66024/40.720/44.503/50.430/1.190
Info:Polynomial Selection (size optimized): Total time: 63417.3
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 7159.32
Info:Polynomial Selection (root optimized): Rootsieve time: 7156.77
Info:Generate Factor Base: Total cpu/real time for makefb: 22.99/2.45844
Info:Generate Free Relations: Total cpu/real time for freerel: 362.79/34.0566
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25183165
Info:Lattice Sieving: Average J: 3786.9 for 809602 special-q, max bucket fill: 0.652436
Info:Lattice Sieving: Total CPU time: 1.87297e+06s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 145.47/256.43
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 256.2s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 595.65/394.801
Info:Filtering - Singleton removal: Total cpu/real time for purge: 310.96/255.655
Info:Filtering - Merging: Total cpu/real time for merge: 1119.41/1018.55
Info:Filtering - Merging: Total cpu/real time for replay: 78.06/61.8448
Info:Linear Algebra: Total cpu/real time for bwc: 536216/0.000454664
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 31981.84
Info:Linear Algebra: Lingen CPU time 1733.77, WCT time 196.84
Info:Linear Algebra: Mksol: WCT time 17271.1
Info:Quadratic Characters: Total cpu/real time for characters: 175.39/39.452
Info:Square Root: Total cpu/real time for sqrt: 6851.14/1455.13
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 2.48942e+06/26302.3
28890396930122168070466037404558715491514527880269725906250822374442936190408105195970399269 71390352947565225881588227528522695736264442449
software ソフトウェア
cado-nfs-2.3.0
execution environment 実行環境
Linux Ubuntu 18.04 LTS 
GenuineIntel Intel(R) Core(TM) i7-5820K CPU @ 3.30GHz [Family 6 Model 63 Stepping 2] (12 processors) 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 24, 2011 16:05:19 UTC 2011 年 3 月 25 日 (金) 1 時 5 分 19 秒 (日本時間)
403e61610110Ignacio SantosMarch 24, 2011 16:05:19 UTC 2011 年 3 月 25 日 (金) 1 時 5 分 19 秒 (日本時間)
1500Dmitry DomanovNovember 15, 2013 20:36:47 UTC 2013 年 11 月 16 日 (土) 5 時 36 分 47 秒 (日本時間)
4511e61332 / 410532Ignacio SantosMarch 24, 2011 16:05:19 UTC 2011 年 3 月 25 日 (金) 1 時 5 分 19 秒 (日本時間)
1000Dmitry DomanovDecember 16, 2013 13:13:37 UTC 2013 年 12 月 16 日 (月) 22 時 13 分 37 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:03 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 3 秒 (日本時間)

16×10193+173

c123

name 名前Erik Branger
date 日付April 3, 2009 08:24:29 UTC 2009 年 4 月 3 日 (金) 17 時 24 分 29 秒 (日本時間)
composite number 合成数
323347311841892954308216612017508749535509420962094692577376901022301501696811575352725622481922650643907464856537865349579<123>
prime factors 素因数
28908882578973117144496171187035193<35>
57749307267023763311033988438420401<35>
193682851615402438266837470310134941116692660151926803<54>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 323347311841892954308216612017508749535509420962094692577376901022301501696811575352725622481922650643907464856537865349579 (123 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1898868028
Step 1 took 37627ms
Step 2 took 12776ms
********** Factor found in step 2: 28908882578973117144496171187035193
Found probable prime factor of 35 digits: 28908882578973117144496171187035193
Composite cofactor 11185050510291245263177482647494883428694317570240480105088214343493952278744833893908003 has 89 digits

Fri Apr 03 07:48:01 2009  Msieve v. 1.40
Fri Apr 03 07:48:01 2009  random seeds: 5ec5ff50 75d6f83e
Fri Apr 03 07:48:01 2009  factoring 11185050510291245263177482647494883428694317570240480105088214343493952278744833893908003 (89 digits)
Fri Apr 03 07:48:02 2009  searching for 15-digit factors
Fri Apr 03 07:48:03 2009  commencing quadratic sieve (89-digit input)
Fri Apr 03 07:48:03 2009  using multiplier of 3
Fri Apr 03 07:48:03 2009  using 32kb Intel Core sieve core
Fri Apr 03 07:48:03 2009  sieve interval: 28 blocks of size 32768
Fri Apr 03 07:48:03 2009  processing polynomials in batches of 8
Fri Apr 03 07:48:03 2009  using a sieve bound of 1531469 (58333 primes)
Fri Apr 03 07:48:03 2009  using large prime bound of 122517520 (26 bits)
Fri Apr 03 07:48:03 2009  using double large prime bound of 362040129222640 (42-49 bits)
Fri Apr 03 07:48:03 2009  using trial factoring cutoff of 49 bits
Fri Apr 03 07:48:03 2009  polynomial 'A' values have 11 factors
Fri Apr 03 08:43:33 2009  58566 relations (15659 full + 42907 combined from 617626 partial), need 58429
Fri Apr 03 08:43:34 2009  begin with 633285 relations
Fri Apr 03 08:43:35 2009  reduce to 142097 relations in 11 passes
Fri Apr 03 08:43:35 2009  attempting to read 142097 relations
Fri Apr 03 08:43:36 2009  recovered 142097 relations
Fri Apr 03 08:43:36 2009  recovered 119810 polynomials
Fri Apr 03 08:43:37 2009  attempting to build 58566 cycles
Fri Apr 03 08:43:37 2009  found 58566 cycles in 6 passes
Fri Apr 03 08:43:37 2009  distribution of cycle lengths:
Fri Apr 03 08:43:37 2009     length 1 : 15659
Fri Apr 03 08:43:37 2009     length 2 : 11326
Fri Apr 03 08:43:37 2009     length 3 : 10358
Fri Apr 03 08:43:37 2009     length 4 : 7828
Fri Apr 03 08:43:37 2009     length 5 : 5459
Fri Apr 03 08:43:37 2009     length 6 : 3414
Fri Apr 03 08:43:37 2009     length 7 : 2156
Fri Apr 03 08:43:37 2009     length 9+: 2366
Fri Apr 03 08:43:37 2009  largest cycle: 17 relations
Fri Apr 03 08:43:37 2009  matrix is 58333 x 58566 (14.2 MB) with weight 3485108 (59.51/col)
Fri Apr 03 08:43:37 2009  sparse part has weight 3485108 (59.51/col)
Fri Apr 03 08:43:37 2009  filtering completed in 3 passes
Fri Apr 03 08:43:38 2009  matrix is 54258 x 54322 (13.3 MB) with weight 3258769 (59.99/col)
Fri Apr 03 08:43:38 2009  sparse part has weight 3258769 (59.99/col)
Fri Apr 03 08:43:38 2009  saving the first 48 matrix rows for later
Fri Apr 03 08:43:38 2009  matrix is 54210 x 54322 (9.2 MB) with weight 2638136 (48.56/col)
Fri Apr 03 08:43:38 2009  sparse part has weight 2091942 (38.51/col)
Fri Apr 03 08:43:38 2009  matrix includes 64 packed rows
Fri Apr 03 08:43:38 2009  using block size 21728 for processor cache size 2048 kB
Fri Apr 03 08:43:38 2009  commencing Lanczos iteration
Fri Apr 03 08:43:38 2009  memory use: 8.6 MB
Fri Apr 03 08:43:57 2009  lanczos halted after 859 iterations (dim = 54209)
Fri Apr 03 08:43:57 2009  recovered 17 nontrivial dependencies
Fri Apr 03 08:43:58 2009  prp35 factor: 57749307267023763311033988438420401
Fri Apr 03 08:43:58 2009  prp54 factor: 193682851615402438266837470310134941116692660151926803
Fri Apr 03 08:43:58 2009  elapsed time 00:55:57
software ソフトウェア
GMP-ECM, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10197+173

c198

name 名前Jo Yeong Uk
date 日付March 30, 2009 00:16:36 UTC 2009 年 3 月 30 日 (月) 9 時 16 分 36 秒 (日本時間)
composite number 合成数
533333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<198>
prime factors 素因数
8330730914910739494869962789866397<34>
64019992817046568864072386610912369178865900873939871107157058564192119869482424687933582394044661175526797445218338045141217468977459877568210571489380832289734487<164>
factorization results 素因数分解の結果
GMP-ECM 6.2.1 [powered by GMP 4.2.2] [ECM]
Input number is 533333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339 (198 digits)
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=4195428485
Step 1 took 21881ms
Step 2 took 8593ms
********** Factor found in step 2: 8330730914910739494869962789866397
Found probable prime factor of 34 digits: 8330730914910739494869962789866397
Probable prime cofactor 64019992817046568864072386610912369178865900873939871107157058564192119869482424687933582394044661175526797445218338045141217468977459877568210571489380832289734487 has 164 digits
execution environment 実行環境
Core 2 Quad Q6700

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6904118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
786Jo Yeong UkMarch 29, 2009 15:16:43 UTC 2009 年 3 月 30 日 (月) 0 時 16 分 43 秒 (日本時間)

16×10198+173

c183

name 名前Serge Batalov
date 日付March 19, 2009 17:12:11 UTC 2009 年 3 月 20 日 (金) 2 時 12 分 11 秒 (日本時間)
composite number 合成数
617272796720218812514861124696748348093556351513914240163304387956712621757882628353494267470521628862349676980683398098511232822701154845911256692099661446219293931800649816294584663<183>
prime factors 素因数
10809721554503831623054520711<29>
composite cofactor 合成数の残り
57103487227479446124405422629494541923845415148310131046666472629860297816874516504637895482742596878953891789085625659624914076124765874321722241320269233<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=2135270727
Step 1 took 11285ms
Step 2 took 10733ms
********** Factor found in step 2: 10809721554503831623054520711
Found probable prime factor of 29 digits: 10809721554503831623054520711
Composite cofactor  has 155 digits
software ソフトウェア
GMP-ECM 6.2.2

c155

name 名前Dmitry Domanov
date 日付November 13, 2013 07:09:20 UTC 2013 年 11 月 13 日 (水) 16 時 9 分 20 秒 (日本時間)
composite number 合成数
57103487227479446124405422629494541923845415148310131046666472629860297816874516504637895482742596878953891789085625659624914076124765874321722241320269233<155>
prime factors 素因数
12789625341336043348347687224900930303<38>
4464828773593632207206961727773999752061913422109724587805707442420022099921447832800655781057547392849430315178815311<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=9994890
Step 1 took 20722ms
Step 2 took 7770ms
********** Factor found in step 2: 12789625341336043348347687224900930303
Found probable prime factor of 38 digits: 12789625341336043348347687224900930303

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 24, 2011 16:05:42 UTC 2011 年 3 月 25 日 (金) 1 時 5 分 42 秒 (日本時間)
403e6110 / 2126Ignacio SantosMarch 24, 2011 16:05:42 UTC 2011 年 3 月 25 日 (金) 1 時 5 分 42 秒 (日本時間)
4511e632 / 4437Ignacio SantosMarch 24, 2011 16:05:42 UTC 2011 年 3 月 25 日 (金) 1 時 5 分 42 秒 (日本時間)

16×10199+173

c190

name 名前matsui
date 日付June 29, 2011 09:43:30 UTC 2011 年 6 月 29 日 (水) 18 時 43 分 30 秒 (日本時間)
composite number 合成数
3242627400358107343317592694364536490571604930179523175530714235469759669721660830886118532996978665483648697917707236565977873564665570521482739433741161039793270390392516619153522502866751<190>
prime factors 素因数
18686520369022621346701711395151571417791<41>
173527619713167044517175963578586473866520069765043370480944101489777704712803638807673455774376521593912311825542707917603841791271895841665340146561<150>
factorization results 素因数分解の結果
N=3242627400358107343317592694364536490571604930179523175530714235469759669721660830886118532996978665483648697917707236565977873564665570521482739433741161039793270390392516619153522502866751
  ( 190 digits)
SNFS difficulty: 200 digits.
Divisors found:
 r1=18686520369022621346701711395151571417791 (pp41)
 r2=173527619713167044517175963578586473866520069765043370480944101489777704712803638807673455774376521593912311825542707917603841791271895841665340146561 (pp150)
Version: Msieve v. 1.49
Total time:
Scaled time: 89.55 units (timescale=0.699).
Factorization parameters were as follows:
n: 3242627400358107343317592694364536490571604930179523175530714235469759669721660830886118532996978665483648697917707236565977873564665570521482739433741161039793270390392516619153522502866751
m: 2000000000000000000000000000000000000000
deg: 5
c5: 5000
c0: 17
skew: 0.32
type: snfs
lss: 1
rlim: 15200000
alim: 15200000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
qintsize: 320000
Factor base limits: 15200000/15200000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved rational special-q in [7600000, 14640001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 3041830 x 3042049
Total sieving time:
Total relation processing time:
Matrix solve time:
Time per square root:
Prototype def-par.txt line would be:
snfs,200.000,5,0,0,0,0,0,0,0,0,15200000,15200000,29,29,56,56,2.6,2.6,100000
total time:

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 24, 2011 17:19:04 UTC 2011 年 3 月 25 日 (金) 2 時 19 分 4 秒 (日本時間)
403e6110 / 2126Ignacio SantosMarch 24, 2011 17:19:04 UTC 2011 年 3 月 25 日 (金) 2 時 19 分 4 秒 (日本時間)
4511e632 / 4437Ignacio SantosMarch 24, 2011 17:19:04 UTC 2011 年 3 月 25 日 (金) 2 時 19 分 4 秒 (日本時間)

16×10200+173

c139

name 名前Wataru Sakai
date 日付August 24, 2009 13:47:18 UTC 2009 年 8 月 24 日 (月) 22 時 47 分 18 秒 (日本時間)
composite number 合成数
6149677225973331541608331835106202992307191332204062877834937858744710273463066507375360796941053464931436967889812675348478670134863972477<139>
prime factors 素因数
5465589490197817703795797688544120931163749<43>
298131801644473477455962103738371299534531237091<48>
3774044422137398794264282715509644849768141470003<49>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1866420656
Step 1 took 42771ms
Step 2 took 14797ms
********** Factor found in step 2: 5465589490197817703795797688544120931163749
Found probable prime factor of 43 digits: 5465589490197817703795797688544120931163749
Composite cofactor 1125162663058098504797405482943005184164299914993771206716128207364181036419506148377602857481273 has 97 digits
-------------------------------
Sun Aug 23 13:25:48 2009  Msieve v. 1.42
Sun Aug 23 13:25:48 2009  random seeds: 5c7374a8 5ef10529
Sun Aug 23 13:25:48 2009  factoring 1125162663058098504797405482943005184164299914993771206716128207364181036419506148377602857481273 (97 digits)
Sun Aug 23 13:25:49 2009  searching for 15-digit factors
Sun Aug 23 13:25:50 2009  commencing quadratic sieve (97-digit input)
Sun Aug 23 13:25:50 2009  using multiplier of 1
Sun Aug 23 13:25:50 2009  using 64kb Pentium 3 sieve core
Sun Aug 23 13:25:50 2009  sieve interval: 18 blocks of size 65536
Sun Aug 23 13:25:50 2009  processing polynomials in batches of 6
Sun Aug 23 13:25:50 2009  using a sieve bound of 2334881 (85864 primes)
Sun Aug 23 13:25:50 2009  using large prime bound of 350232150 (28 bits)
Sun Aug 23 13:25:50 2009  using double large prime bound of 2397953724173250 (43-52 bits)
Sun Aug 23 13:25:50 2009  using trial factoring cutoff of 52 bits
Sun Aug 23 13:25:50 2009  polynomial 'A' values have 12 factors
Sun Aug 23 22:43:02 2009  86190 relations (20613 full + 65577 combined from 1302314 partial), need 85960
Sun Aug 23 22:43:09 2009  begin with 1322927 relations
Sun Aug 23 22:43:11 2009  reduce to 227316 relations in 13 passes
Sun Aug 23 22:43:11 2009  attempting to read 227316 relations
Sun Aug 23 22:43:23 2009  recovered 227316 relations
Sun Aug 23 22:43:23 2009  recovered 213982 polynomials
Sun Aug 23 22:43:24 2009  attempting to build 86190 cycles
Sun Aug 23 22:43:24 2009  found 86190 cycles in 6 passes
Sun Aug 23 22:43:24 2009  distribution of cycle lengths:
Sun Aug 23 22:43:24 2009     length 1 : 20613
Sun Aug 23 22:43:24 2009     length 2 : 14554
Sun Aug 23 22:43:24 2009     length 3 : 14469
Sun Aug 23 22:43:24 2009     length 4 : 11952
Sun Aug 23 22:43:24 2009     length 5 : 8905
Sun Aug 23 22:43:24 2009     length 6 : 6215
Sun Aug 23 22:43:24 2009     length 7 : 3905
Sun Aug 23 22:43:24 2009     length 9+: 5577
Sun Aug 23 22:43:24 2009  largest cycle: 19 relations
Sun Aug 23 22:43:24 2009  matrix is 85864 x 86190 (23.8 MB) with weight 5890275 (68.34/col)
Sun Aug 23 22:43:24 2009  sparse part has weight 5890275 (68.34/col)
Sun Aug 23 22:43:27 2009  filtering completed in 3 passes
Sun Aug 23 22:43:27 2009  matrix is 82166 x 82230 (22.8 MB) with weight 5637674 (68.56/col)
Sun Aug 23 22:43:27 2009  sparse part has weight 5637674 (68.56/col)
Sun Aug 23 22:43:27 2009  saving the first 48 matrix rows for later
Sun Aug 23 22:43:27 2009  matrix is 82118 x 82230 (16.2 MB) with weight 4678949 (56.90/col)
Sun Aug 23 22:43:27 2009  sparse part has weight 3758275 (45.70/col)
Sun Aug 23 22:43:27 2009  matrix includes 64 packed rows
Sun Aug 23 22:43:27 2009  using block size 32892 for processor cache size 1024 kB
Sun Aug 23 22:43:28 2009  commencing Lanczos iteration
Sun Aug 23 22:43:28 2009  memory use: 15.2 MB
Sun Aug 23 22:44:47 2009  lanczos halted after 1300 iterations (dim = 82116)
Sun Aug 23 22:44:48 2009  recovered 15 nontrivial dependencies
Sun Aug 23 22:44:48 2009  prp48 factor: 298131801644473477455962103738371299534531237091
Sun Aug 23 22:44:48 2009  prp49 factor: 3774044422137398794264282715509644849768141470003
Sun Aug 23 22:44:48 2009  elapsed time 09:19:00
software ソフトウェア
GMP-ECM 6.2.1, Msieve v. 1.42

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
403e6500 / 2318Erik BrangerMarch 22, 2009 08:57:47 UTC 2009 年 3 月 22 日 (日) 17 時 57 分 47 秒 (日本時間)

16×10201+173

c186

name 名前Serge Batalov
date 日付March 19, 2009 18:17:31 UTC 2009 年 3 月 20 日 (金) 3 時 17 分 31 秒 (日本時間)
composite number 合成数
172397710986975735136995693003419109567530901815938981082255972516235645824214667267452826315545933114592735817106080287840469563906249338481134154135396231621513536461101286133536682343<186>
prime factors 素因数
2501174201872189797561830194829<31>
composite cofactor 合成数の残り
68926710845622768023245400986497791282629481535689213308309687739001187639469203420891227576987844761091134389590016352081985710450401698271387066361347267<155>
factorization results 素因数分解の結果
Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=1396396328
Step 1 took 11309ms
Step 2 took 10765ms
********** Factor found in step 2: 2501174201872189797561830194829
Found probable prime factor of 31 digits: 2501174201872189797561830194829
Composite cofactor has 155 digits
software ソフトウェア
GMP-ECM 6.2.2

c155

name 名前ebina
date 日付February 15, 2022 01:40:09 UTC 2022 年 2 月 15 日 (火) 10 時 40 分 9 秒 (日本時間)
composite number 合成数
68926710845622768023245400986497791282629481535689213308309687739001187639469203420891227576987844761091134389590016352081985710450401698271387066361347267<155>
prime factors 素因数
3285209923372858582051789182457782975939359300113704058399<58>
20980915208869547094789255386000193552797907226683334270499197236705904905461853676595267482739933<98>
factorization results 素因数分解の結果
Tue Feb 15 09:11:37 2022  Msieve v. 1.53 (SVN unknown)
Tue Feb 15 09:11:37 2022  random seeds: 4c6a78e0 e75ff6f9
Tue Feb 15 09:11:37 2022  factoring 68926710845622768023245400986497791282629481535689213308309687739001187639469203420891227576987844761091134389590016352081985710450401698271387066361347267 (155 digits)
Tue Feb 15 09:11:38 2022  searching for 15-digit factors
Tue Feb 15 09:11:38 2022  commencing number field sieve (155-digit input)
Tue Feb 15 09:11:38 2022  R0: -20000000000000000000000000000000000000000
Tue Feb 15 09:11:38 2022  R1: 1
Tue Feb 15 09:11:38 2022  A0: 17
Tue Feb 15 09:11:38 2022  A1: 0
Tue Feb 15 09:11:38 2022  A2: 0
Tue Feb 15 09:11:38 2022  A3: 0
Tue Feb 15 09:11:38 2022  A4: 0
Tue Feb 15 09:11:38 2022  A5: 5
Tue Feb 15 09:11:38 2022  skew 1.28, size 8.564e-14, alpha -0.263, combined = 1.714e-11 rroots = 1
Tue Feb 15 09:11:38 2022  
Tue Feb 15 09:11:38 2022  commencing square root phase
Tue Feb 15 09:11:38 2022  reading relations for dependency 1
Tue Feb 15 09:11:39 2022  read 1583133 cycles
Tue Feb 15 09:11:41 2022  cycles contain 5460060 unique relations
Tue Feb 15 09:12:37 2022  read 5460060 relations
Tue Feb 15 09:13:03 2022  multiplying 5460060 relations
Tue Feb 15 09:15:08 2022  multiply complete, coefficients have about 142.95 million bits
Tue Feb 15 09:15:09 2022  initial square root is modulo 135101
Tue Feb 15 09:17:39 2022  GCD is 1, no factor found
Tue Feb 15 09:17:39 2022  reading relations for dependency 2
Tue Feb 15 09:17:40 2022  read 1582838 cycles
Tue Feb 15 09:17:42 2022  cycles contain 5455874 unique relations
Tue Feb 15 09:18:37 2022  read 5455874 relations
Tue Feb 15 09:19:03 2022  multiplying 5455874 relations
Tue Feb 15 09:21:08 2022  multiply complete, coefficients have about 142.85 million bits
Tue Feb 15 09:21:09 2022  initial square root is modulo 133811
Tue Feb 15 09:23:39 2022  sqrtTime: 721
Tue Feb 15 09:23:39 2022  p58 factor: 3285209923372858582051789182457782975939359300113704058399
Tue Feb 15 09:23:39 2022  p98 factor: 20980915208869547094789255386000193552797907226683334270499197236705904905461853676595267482739933
Tue Feb 15 09:23:39 2022  elapsed time 00:12:02
Tue Feb 15 09:23:39 2022 -> Computing 1.64488e+09 scale for this machine...
Tue Feb 15 09:23:39 2022 -> procrels -speedtest> PIPE
Tue Feb 15 09:23:41 2022 -> Factorization summary written to s203-53339_201.txt
execution environment 実行環境
core i7 6700t 2.8Ghz windows 10

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 24, 2011 18:51:48 UTC 2011 年 3 月 25 日 (金) 3 時 51 分 48 秒 (日本時間)
403e61610110Ignacio SantosMarch 24, 2011 18:51:48 UTC 2011 年 3 月 25 日 (金) 3 時 51 分 48 秒 (日本時間)
1500Dmitry DomanovNovember 15, 2013 20:36:58 UTC 2013 年 11 月 16 日 (土) 5 時 36 分 58 秒 (日本時間)
4511e6631232Ignacio SantosMarch 24, 2011 18:51:48 UTC 2011 年 3 月 25 日 (金) 3 時 51 分 48 秒 (日本時間)
1500Dmitry DomanovNovember 27, 2013 13:14:39 UTC 2013 年 11 月 27 日 (水) 22 時 14 分 39 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:03 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 3 秒 (日本時間)
4480Ignacio SantosAugust 19, 2021 21:14:53 UTC 2021 年 8 月 20 日 (金) 6 時 14 分 53 秒 (日本時間)

16×10202+173

c157

name 名前Ignacio Santos
date 日付March 24, 2011 18:50:11 UTC 2011 年 3 月 25 日 (金) 3 時 50 分 11 秒 (日本時間)
composite number 合成数
2259255268402921313892746958589608653901471782620422242434632227263671037028315496284999686847467011302552595952934280355022174511746067752402833065382611301<157>
prime factors 素因数
801471947457237058326646014683<30>
2818882526794195779347703065304890490201892666165177265763109650987050885292975881464368581102021828991420369612940706754656447<127>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=619086222
Step 1 took 8596ms
Step 2 took 6053ms
********** Factor found in step 2: 801471947457237058326646014683
Found probable prime factor of 30 digits: 801471947457237058326646014683
Probable prime cofactor 2818882526794195779347703065304890490201892666165177265763109650987050885292975881464368581102021828991420369612940706754656447 has 127 digits
software ソフトウェア
GMP-ECM 6.3

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)

16×10204+173

c152

composite cofactor 合成数の残り
19560818635152823375838591459704753373903835218615114415300971209717700189826911949412345212529473374906103663877419739902165117118962123649017184576427<152>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 24, 2011 21:01:49 UTC 2011 年 3 月 25 日 (金) 6 時 1 分 49 秒 (日本時間)
403e61610110Ignacio SantosMarch 24, 2011 21:01:49 UTC 2011 年 3 月 25 日 (金) 6 時 1 分 49 秒 (日本時間)
1500Dmitry DomanovNovember 15, 2013 20:37:07 UTC 2013 年 11 月 16 日 (土) 5 時 37 分 7 秒 (日本時間)
4511e61832 / 410532Ignacio SantosMarch 24, 2011 21:01:49 UTC 2011 年 3 月 25 日 (金) 6 時 1 分 49 秒 (日本時間)
1500Dmitry DomanovNovember 27, 2013 13:14:53 UTC 2013 年 11 月 27 日 (水) 22 時 14 分 53 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:04 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 4 秒 (日本時間)

16×10205+173

c190

name 名前Dmitry Domanov
date 日付November 13, 2013 07:07:01 UTC 2013 年 11 月 13 日 (水) 16 時 7 分 1 秒 (日本時間)
composite number 合成数
1571066770377181842413141805221892926862925007525199302505430654732536112524911841458419279033103279533499987179791978049913107811603605539835037002787906362354880086888205584837232683887371<190>
prime factors 素因数
15626675996425603926755662661496678629<38>
100537489273889255097346117794195671777146570043639614872522302009816104836711791006940864662587053251684324965834579609004989183982802161348797927453999<153>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=302035261
Step 1 took 22872ms
Step 2 took 9217ms
********** Factor found in step 2: 15626675996425603926755662661496678629
Found probable prime factor of 38 digits: 15626675996425603926755662661496678629

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaMarch 18, 2009 17:00:00 UTC 2009 年 3 月 19 日 (木) 2 時 0 分 0 秒 (日本時間)
300Ignacio SantosMarch 24, 2011 22:41:24 UTC 2011 年 3 月 25 日 (金) 7 時 41 分 24 秒 (日本時間)
403e6110 / 2126Ignacio SantosMarch 24, 2011 22:41:24 UTC 2011 年 3 月 25 日 (金) 7 時 41 分 24 秒 (日本時間)
4511e632 / 4437Ignacio SantosMarch 24, 2011 22:41:24 UTC 2011 年 3 月 25 日 (金) 7 時 41 分 24 秒 (日本時間)

16×10206+173

c199

name 名前Bob Backstrom
date 日付April 21, 2021 06:18:27 UTC 2021 年 4 月 21 日 (水) 15 時 18 分 27 秒 (日本時間)
composite number 合成数
2305610575229332995665136538121369453195761642768170065548061941720986383491921658586272539023946825080788630581201066126434441563531193786377194146372347349461364626371202267969176978138905177907519<199>
prime factors 素因数
1521682520963873525649147494623266941057062649071010986540302503723262111136384872036397<88>
1515171886031061806448239085710574891280150214664901738165684737727838969361306948827617852375905604767100278427<112>
factorization results 素因数分解の結果
Number: n
N=2305610575229332995665136538121369453195761642768170065548061941720986383491921658586272539023946825080788630581201066126434441563531193786377194146372347349461364626371202267969176978138905177907519
  ( 199 digits)
SNFS difficulty: 207 digits.
Divisors found:

Wed Apr 21 15:54:47 2021  p88 factor: 1521682520963873525649147494623266941057062649071010986540302503723262111136384872036397
Wed Apr 21 15:54:47 2021  p112 factor: 1515171886031061806448239085710574891280150214664901738165684737727838969361306948827617852375905604767100278427
Wed Apr 21 15:54:47 2021  elapsed time 01:48:16 (Msieve 1.54 - dependency 3)

Version: 
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.351).
Factorization parameters were as follows:
#
# N = 16x10^206+17 = 53(205)9
#
n: 2305610575229332995665136538121369453195761642768170065548061941720986383491921658586272539023946825080788630581201066126434441563531193786377194146372347349461364626371202267969176978138905177907519
m: 200000000000000000000000000000000000000000
deg: 5
c5: 5
c0: 17
skew: 1.28
# Murphy_E = 1.054e-11
type: snfs
lss: 1
rlim: 19900000
alim: 19900000
lpbr: 29
lpba: 29
mfbr: 56
mfba: 56
rlambda: 2.6
alambda: 2.6
Factor base limits: 19900000/19900000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 56/56
Sieved  special-q in [100000, 29950000)
Primes: , , 
Relations: 
Max relations in full relation-set: 28
Initial matrix: 
Pruned matrix : 

Msieve: found 6769066 hash collisions in 54383669 relations (49869196 unique)
Msieve: matrix is 2115655 x 2115880 (741.1 MB)

Sieving start time : 2021/04/21 04:25:30
Sieving end time  : 2021/04/21 14:05:31

Total sieving time: 9hrs 40min 1secs.

Total relation processing time: 1hrs 26min 17sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 7min 14sec.

Prototype def-par.txt line would be:
snfs,207,5,0,0,0,0,0,0,0,0,19900000,19900000,29,29,56,56,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.118393] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2)
[    0.000000] Memory: 16241108K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486128K reserved, 0K cma-reserved)
[    0.153523] x86/mm: Memory block size: 128MB
[    0.000004] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.30 BogoMIPS (lpj=12798612)
[    0.152049] smpboot: Total of 16 processors activated (102388.89 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovNovember 15, 2013 20:37:17 UTC 2013 年 11 月 16 日 (土) 5 時 37 分 17 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:05 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 5 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:02 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 2 秒 (日本時間)

16×10207+173

c179

composite cofactor 合成数の残り
15987772613060691090587969194773112143308811045294888854471975805158429900934253929015286332206576627150180722351412159670343222036132344517499731991233296302422613544542638576787<179>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovNovember 15, 2013 20:37:25 UTC 2013 年 11 月 16 日 (土) 5 時 37 分 25 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:06 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 6 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:03 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 3 秒 (日本時間)

16×10208+173

c186

name 名前Dmitry Domanov
date 日付November 13, 2013 07:06:21 UTC 2013 年 11 月 13 日 (水) 16 時 6 分 21 秒 (日本時間)
composite number 合成数
467846569290607349895173554700480425493669589154272305418759903164368604554011594791911346129512315780360643523326727199158920818015781716203969895317494008036996072999616896382036606333<186>
prime factors 素因数
572354548581640418897796763936151<33>
217329667283791742261049081199227007<36>
composite cofactor 合成数の残り
3761138234097287440688801258943723049442786303575001581980699108750549529023968379686810204015455521893558093283953269<118>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3591757485
Step 1 took 22829ms
Step 2 took 9257ms
********** Factor found in step 2: 572354548581640418897796763936151
Found probable prime factor of 33 digits: 572354548581640418897796763936151

Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3048309242
Step 1 took 16458ms
Step 2 took 2044ms
********** Factor found in step 2: 217329667283791742261049081199227007
Found probable prime factor of 36 digits: 217329667283791742261049081199227007

c118

name 名前Dmitry Domanov
date 日付November 14, 2013 04:43:08 UTC 2013 年 11 月 14 日 (木) 13 時 43 分 8 秒 (日本時間)
composite number 合成数
3761138234097287440688801258943723049442786303575001581980699108750549529023968379686810204015455521893558093283953269<118>
prime factors 素因数
24961675910842060596149422380741873311892567589314263339<56>
150676510965501462118753873338097895827730169696102638519515871<63>
factorization results 素因数分解の結果
N=3761138234097287440688801258943723049442786303575001581980699108750549529023968379686810204015455521893558093283953269
  ( 118 digits)
Divisors found:
 r1=24961675910842060596149422380741873311892567589314263339 (pp56)
 r2=150676510965501462118753873338097895827730169696102638519515871 (pp63)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 28.98 hours.
Scaled time: 38.25 units (timescale=1.320).
Factorization parameters were as follows:
n: 3761138234097287440688801258943723049442786303575001581980699108750549529023968379686810204015455521893558093283953269
skew: 96404.61
c0: -10643992781214630690810246144
c1: 1034664666743108592432392
c2: -30033647796693584894
c3: 31260936801722
c4: 3219675339
c5: 9912
Y0: -51979390391976686221721
Y1: 771154019543
rlim: 4800000
alim: 4800000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
qintsize: 160000
type: gnfs
Factor base limits: 4800000/4800000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2400000, 3840001)
Primes: , , 
Relations: relations 
Max relations in full relation-set: 
Initial matrix: 
Pruned matrix : 531616 x 531845
Total sieving time: 28.26 hours.
Total relation processing time: 0.24 hours.
Matrix solve time: 0.38 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,117,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4800000,4800000,27,27,54,54,2.5,2.5,100000
total time: 28.98 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)

16×10212+173

c177

name 名前Dmitry Domanov
date 日付December 25, 2013 09:51:20 UTC 2013 年 12 月 25 日 (水) 18 時 51 分 20 秒 (日本時間)
composite number 合成数
121112335034864310754632684083764106645429859535512155628764654205573159331218331683480355681049146746595605950897457700125580651569135967376338251279378323921007516488766282569<177>
prime factors 素因数
168411000120519485114292967607370661536385413617640887<54>
composite cofactor 合成数の残り
719147412866101589769874025826031887614941052809913161960330617059666533305446410399319828502988017371397413036950455404287<123>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=204347399
Step 1 took 111153ms
Step 2 took 35001ms
********** Factor found in step 2: 168411000120519485114292967607370661536385413617640887
Found probable prime factor of 54 digits: 168411000120519485114292967607370661536385413617640887
Composite cofactor 719147412866101589769874025826031887614941052809913161960330617059666533305446410399319828502988017371397413036950455404287 has 123 digits

c123

name 名前Dmitry Domanov
date 日付December 26, 2013 09:01:07 UTC 2013 年 12 月 26 日 (木) 18 時 1 分 7 秒 (日本時間)
composite number 合成数
719147412866101589769874025826031887614941052809913161960330617059666533305446410399319828502988017371397413036950455404287<123>
prime factors 素因数
632280560461801703443670618032797325498817<42>
1137386561973144545163203872204580114637354030030586332693829858876097556201246911<82>
factorization results 素因数分解の結果
N=719147412866101589769874025826031887614941052809913161960330617059666533305446410399319828502988017371397413036950455404287
  ( 123 digits)
Divisors found:
 r1=632280560461801703443670618032797325498817 (pp42)
 r2=1137386561973144545163203872204580114637354030030586332693829858876097556201246911 (pp82)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 69.01 hours.
Scaled time: 65.63 units (timescale=0.951).
Factorization parameters were as follows:
n: 719147412866101589769874025826031887614941052809913161960330617059666533305446410399319828502988017371397413036950455404287
skew: 191419.45
c0: 378260109141286239842043185220
c1: 58633827690754702069314140
c2: -99419963699217489227
c3: -3378841716700510
c4: -1011979908
c5: 34200
Y0: -461911067095624269402119
Y1: 812133029153
rlim: 5300000
alim: 5300000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 240000
Factor base limits: 5300000/5300000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2650000, 5530001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 682980 x 683208
Total sieving time: 68.04 hours.
Total relation processing time: 0.19 hours.
Matrix solve time: 0.63 hours.
Time per square root: 0.15 hours.
Prototype def-par.txt line would be:
gnfs,122,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,5300000,5300000,27,27,54,54,2.5,2.5,100000
total time: 69.01 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovNovember 15, 2013 20:37:35 UTC 2013 年 11 月 16 日 (土) 5 時 37 分 35 秒 (日本時間)
4511e61500 / 4143Dmitry DomanovDecember 24, 2013 10:58:02 UTC 2013 年 12 月 24 日 (火) 19 時 58 分 2 秒 (日本時間)

16×10213+173

c188

composite cofactor 合成数の残り
15434848892001350874797231132343156547163166592101162420442961139048693526577728622378363797836704838006905159157731087675809287421611314887318538063995336937595376212970301557674066100619<188>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovNovember 15, 2013 20:37:43 UTC 2013 年 11 月 16 日 (土) 5 時 37 分 43 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:06 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 6 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:03 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 3 秒 (日本時間)

16×10214+173

c201

composite cofactor 合成数の残り
753871476053835908407467164238560947510905200054127942053852497576505168386900923671009779549727207090722629643183548546865564280579084741759689793818081324418988525386029076149840256170129191190852649<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 15, 2013 20:37:52 UTC 2013 年 11 月 16 日 (土) 5 時 37 分 52 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:07 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 7 秒 (日本時間)
4511e6300 / 3681Serge BatalovMay 27, 2014 00:33:04 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 4 秒 (日本時間)
5043e6113 / 7417CypFebruary 9, 2014 03:55:28 UTC 2014 年 2 月 9 日 (日) 12 時 55 分 28 秒 (日本時間)

16×10215+173

c148

name 名前Ignacio Santos
date 日付October 6, 2013 10:37:25 UTC 2013 年 10 月 6 日 (日) 19 時 37 分 25 秒 (日本時間)
composite number 合成数
1037292405415343894372853069361560673421691269717908749242638462105739974145155861924133019455380996349068026702518788610689725366734952210468530861<148>
prime factors 素因数
546638060656672057951222241817333019<36>
1897585404443394559278961991052617024478237746552123052330061931914042158065983354758970650389344572947221826519<112>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:1648394517
Step 1 took 5328ms
Step 2 took 4172ms
********** Factor found in step 2: 546638060656672057951222241817333019
Found probable prime factor of 36 digits: 546638060656672057951222241817333019
Probable prime cofactor 1897585404443394559278961991052617024478237746552123052330061931914042158065983354758970650389344572947221826519 has 112 digits
software ソフトウェア
GMP-ECM 7.0

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)

16×10216+173

c115

name 名前Dmitry Domanov
date 日付October 7, 2013 19:53:19 UTC 2013 年 10 月 8 日 (火) 4 時 53 分 19 秒 (日本時間)
composite number 合成数
7361283083863905747584319508254842194680471540162875757425398694681130503667289650916540163247743147439180927682861<115>
prime factors 素因数
13917398664769627441652243440125482260272307848713<50>
528926652255653835841510592051042218169806850993307672876554932997<66>
factorization results 素因数分解の結果
N=7361283083863905747584319508254842194680471540162875757425398694681130503667289650916540163247743147439180927682861
  ( 115 digits)
Divisors found:
 r1=13917398664769627441652243440125482260272307848713 (pp50)
 r2=528926652255653835841510592051042218169806850993307672876554932997 (pp66)
Version: Msieve v. 1.50 (SVN unknown)
Total time: 32.68 hours.
Scaled time: 31.92 units (timescale=0.977).
Factorization parameters were as follows:
n: 7361283083863905747584319508254842194680471540162875757425398694681130503667289650916540163247743147439180927682861
skew: 34820.72
c0: -538165203832578754614996295
c1: -74386519625772225299523
c2: -681201861923897281
c3: 105969353476719
c4: -1063654264
c5: 15444
Y0: -13665917352838949752332
Y1: 102051320201
rlim: 4500000
alim: 4500000
lpbr: 27
lpba: 27
mfbr: 54
mfba: 54
rlambda: 2.5
alambda: 2.5
type: gnfs
qintsize: 100000
Factor base limits: 4500000/4500000
Large primes per side: 3
Large prime bits: 27/27
Max factor residue bits: 54/54
Sieved algebraic special-q in [2250000, 3250001)
Primes: , ,
Relations: relations
Max relations in full relation-set:
Initial matrix:
Pruned matrix : 544456 x 544688
Total sieving time: 31.93 hours.
Total relation processing time: 0.22 hours.
Matrix solve time: 0.43 hours.
Time per square root: 0.10 hours.
Prototype def-par.txt line would be:
gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,54,54,2.5,2.5,100000
total time: 32.68 hours.
 --------- CPU info (if available) ----------

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)

16×10217+173

c213

name 名前Bob Backstrom
date 日付October 31, 2017 10:14:23 UTC 2017 年 10 月 31 日 (火) 19 時 14 分 23 秒 (日本時間)
composite number 合成数
506205766316435552096482819059912616229589625312819344653359782584623367090930374560629213767531329391255928144091471381973379904263834445404126209752686845294026455578862112713041442433331118683105698927792911221<213>
prime factors 素因数
2085921366746684875206771390441479726423291185924849683288355129147163<70>
242677300489970666643343117389960742656600552467101864192499264236761958510146693004526423516367470081210659245395513336706268153246093881045167<144>
factorization results 素因数分解の結果
Number: n
N=506205766316435552096482819059912616229589625312819344653359782584623367090930374560629213767531329391255928144091471381973379904263834445404126209752686845294026455578862112713041442433331118683105698927792911221
  ( 213 digits)
SNFS difficulty: 218 digits.
Divisors found:

Tue Oct 31 20:21:35 2017  p70 factor: 2085921366746684875206771390441479726423291185924849683288355129147163
Tue Oct 31 20:21:35 2017  p144 factor: 242677300489970666643343117389960742656600552467101864192499264236761958510146693004526423516367470081210659245395513336706268153246093881045167
Tue Oct 31 20:21:35 2017  elapsed time 07:35:43 (Msieve 1.53 - dependency 3)

Version:
Total time: 0.00 hours.
Scaled time: 0.00 units (timescale=2.121).
Factorization parameters were as follows:
#
# 16x10^217+17 53(216)9
#
n: 506205766316435552096482819059912616229589625312819344653359782584623367090930374560629213767531329391255928144091471381973379904263834445404126209752686845294026455578862112713041442433331118683105698927792911221
m: 2000000000000000000000000000000000000
deg: 6
c6: 5
c0: 34
skew: 1.38
# Murphy_E = 2.491e-12
type: snfs
lss: 1
rlim: 31000000
alim: 31000000
lpbr: 29
lpba: 29
mfbr: 58
mfba: 58
rlambda: 2.6
alambda: 2.6
Factor base limits: 31000000/31000000
Large primes per side: 3
Large prime bits: 29/29
Max factor residue bits: 58/58
Sieved  special-q in [100000, 69100000)
Primes: , ,
Relations:
Max relations in full relation-set: 28
Initial matrix:
Pruned matrix :

Msieve: found 13400668 hash collisions in 68805595 relations (57354993 unique)
Msieve: matrix is 4183209 x 4183434 (1191.3 MB)

Sieving start time: 2017/10/29 20:07:39
Sieving end time  : 2017/10/31 12:44:43

Total sieving time: 40hrs 37min 4secs.

Total relation processing time: 6hrs 54min 49sec.
Matrix solve time: 0.00 hours.
Total square root time: 0hrs 20min 11sec.

Prototype def-par.txt line would be:
snfs,218,6,0,0,0,0,0,0,0,0,31000000,31000000,29,29,58,58,2.6,2.6,100000
total time: 0.00 hours.
 --------- CPU info (if available) ----------
[    0.068000] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1)
[    0.000000] Memory: 16297368K/16703460K available (9281K kernel code, 2477K rwdata, 3992K rodata, 2324K init, 2384K bss, 406092K reserved, 0K cma-reserved)
[    0.100635] x86/mm: Memory block size: 128MB
[    0.008000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.86 BogoMIPS (lpj=11977728)
[    0.098232] smpboot: Total of 16 processors activated (95821.82 BogoMIPS)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e60--
4511e64250850Serge BatalovNovember 8, 2013 17:14:43 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 43 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:57 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 57 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:24 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 24 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:33 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 33 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:04 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 4 秒 (日本時間)
5043e665 / 6599KTakahashiSeptember 1, 2014 22:12:52 UTC 2014 年 9 月 2 日 (火) 7 時 12 分 52 秒 (日本時間)

16×10218+173

c176

name 名前Dmitry Domanov
date 日付November 13, 2013 07:08:12 UTC 2013 年 11 月 13 日 (水) 16 時 8 分 12 秒 (日本時間)
composite number 合成数
75883923199800574738866838544549786601687895912706626046795355271794902205812617430008767825727671554831361039834201942886321108429356526145610655799099865834529275280920262973<176>
prime factors 素因数
115143078231384571321755506154144185081<39>
659040251184780979493133059024684664786356471863497330894274478105173059374810507140327507067353869988552283822273024801621616044567551333<138>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=568832821
Step 1 took 22764ms
Step 2 took 8918ms
********** Factor found in step 2: 115143078231384571321755506154144185081
Found probable prime factor of 39 digits: 115143078231384571321755506154144185081

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)

16×10219+173

c206

name 名前Dmitry Domanov
date 日付November 13, 2013 14:59:54 UTC 2013 年 11 月 13 日 (水) 23 時 59 分 54 秒 (日本時間)
composite number 合成数
22655883797183426698782150492202850067630424525178215487873562995632145191170473290802589749325372414223095039419017591934043316237886305287937026441728310008019500663979321743439819623947605291675538429363<206>
prime factors 素因数
2008524089513842573960810941134683706851<40>
composite cofactor 合成数の残り
11279866602280691396742144380958382763796115364781898508794014596295809853384607327393787147456133336042999099552310452350160691247200566302176427042820193414758435313<167>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3610098266
Step 1 took 26734ms
Step 2 took 10318ms
********** Factor found in step 2: 2008524089513842573960810941134683706851
Found probable prime factor of 40 digits: 2008524089513842573960810941134683706851

c167

name 名前Serge Batalov
date 日付May 27, 2014 06:10:48 UTC 2014 年 5 月 27 日 (火) 15 時 10 分 48 秒 (日本時間)
composite number 合成数
11279866602280691396742144380958382763796115364781898508794014596295809853384607327393787147456133336042999099552310452350160691247200566302176427042820193414758435313<167>
prime factors 素因数
6800991978638293823731832147273068112730195511<46>
1658561962388781623684608584277934714392025630865985740389836533421817395471796523591577266549731587060440935804266568983<121>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3634303422
Step 1 took 42712ms
Step 2 took 25862ms
********** Factor found in step 2: 6800991978638293823731832147273068112730195511
Found probable prime factor of 46 digits: 6800991978638293823731832147273068112730195511
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovNovember 15, 2013 20:38:05 UTC 2013 年 11 月 16 日 (土) 5 時 38 分 5 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovNovember 27, 2013 13:15:15 UTC 2013 年 11 月 27 日 (水) 22 時 15 分 15 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:05 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 5 秒 (日本時間)

16×10222+173

c191

name 名前Serge Batalov
date 日付May 19, 2014 06:28:46 UTC 2014 年 5 月 19 日 (月) 15 時 28 分 46 秒 (日本時間)
composite number 合成数
84072871573480272737433408546330002184114962439720791129822283529457529739470010928548302389671750762526488680299731932922128551372368340531263469045656334740693597373075842370411635721318131<191>
prime factors 素因数
8209968015027270164309317765069468101809<40>
composite cofactor 合成数の残り
10240340939160286967017991984905670910024709491382956441869083377640295755267659104395686044668833260068977101602152505988239031681244043442000604114659<152>
factorization results 素因数分解の結果
Using B1=11000000, B2=58553269330, polynomial Dickson(12), sigma=3694975663
Step 1 took 50629ms
Step 2 took 25253ms
********** Factor found in step 2: 8209968015027270164309317765069468101809
Found probable prime factor of 40 digits: 8209968015027270164309317765069468101809
Composite cofactor 

c152

name 名前Erik Branger
date 日付September 30, 2018 15:55:31 UTC 2018 年 10 月 1 日 (月) 0 時 55 分 31 秒 (日本時間)
composite number 合成数
10240340939160286967017991984905670910024709491382956441869083377640295755267659104395686044668833260068977101602152505988239031681244043442000604114659<152>
prime factors 素因数
826332116876597909521859167622411149350318285151034797921<57>
12392524422101761762948351578568640662028516893826573883750988051497830752614305232645272950979<95>
factorization results 素因数分解の結果
Number: 53339_222
N = 10240340939160286967017991984905670910024709491382956441869083377640295755267659104395686044668833260068977101602152505988239031681244043442000604114659 (152 digits)
SNFS difficulty: 224 digits.
Divisors found:
r1=826332116876597909521859167622411149350318285151034797921 (pp57)
r2=12392524422101761762948351578568640662028516893826573883750988051497830752614305232645272950979 (pp95)
Version: Msieve v. 1.52 (SVN unknown)
Total time: 41.88 hours.
Factorization parameters were as follows:
n: 10240340939160286967017991984905670910024709491382956441869083377640295755267659104395686044668833260068977101602152505988239031681244043442000604114659
m: 10000000000000000000000000000000000000000000000000000000
deg: 4
c4: 1600
c0: 17
skew: 1.00
type: snfs
lss: 1
rlim: 536870912
alim: 536870912
lpbr: 29
lpba: 28
mfbr: 58
mfba: 56
rlambda: 2.8
alambda: 2.8
side: 1
Number of cores used: 6
Number of threads per core: 1
Factor base limits: 536870912/536870912
Large primes per side: 3
Large prime bits: 29/28
Total raw relations: 31063143
Relations: 9119894 relations
Total pre-computation time approximately 1000 CPU-days.
Pre-computation saved approximately 18 G rational relations.
Total batch smoothness checking time: 17.39 hours.
Total relation processing time: 0.25 hours.
Pruned matrix : 7908603 x 7908828
Matrix solve time: 24.07 hours.
time per square root: 0.17 hours.
Prototype def-par.txt line would be: snfs,224,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000
total time: 41.88 hours.
Intel64 Family 6 Model 158 Stepping 10, GenuineIntel
Windows-10-10.0.17134-SP0
processors: 12, speed: 3.19GHz
software ソフトウェア
GGNFS, NFS_factory, Msieve

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 15, 2013 20:38:14 UTC 2013 年 11 月 16 日 (土) 5 時 38 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:08 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 8 秒 (日本時間)
4511e64080900Serge BatalovMay 24, 2014 19:02:21 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 21 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:05 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 5 秒 (日本時間)
2880Ignacio SantosMarch 13, 2016 16:32:09 UTC 2016 年 3 月 14 日 (月) 1 時 32 分 9 秒 (日本時間)

16×10223+173

c214

composite cofactor 合成数の残り
5743844670703692927816324332251672141715381849417160107142509321009627112912791436872372271454541557092288720547252994595717102515661830741938020312243162695428122786895414348738643415842774244999966601876676755499<214>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 15, 2013 20:38:21 UTC 2013 年 11 月 16 日 (土) 5 時 38 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:09 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 9 秒 (日本時間)
4511e6300 / 3681Serge BatalovMay 27, 2014 00:33:06 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 6 秒 (日本時間)
5043e6113 / 7417CypFebruary 11, 2014 06:31:18 UTC 2014 年 2 月 11 日 (火) 15 時 31 分 18 秒 (日本時間)

16×10224+173

c210

composite cofactor 合成数の残り
616430871474752908084304151350254452310053217031213200220927008044409614681718600997678811442600683629957177781320447429364416578541521023899967745079508087692710604141927625886741827666245938478369374162058701<210>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovNovember 15, 2013 20:38:29 UTC 2013 年 11 月 16 日 (土) 5 時 38 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:10 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 10 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:03 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 3 秒 (日本時間)

16×10226+173

c190

name 名前Dmitry Domanov
date 日付November 13, 2013 07:07:33 UTC 2013 年 11 月 13 日 (水) 16 時 7 分 33 秒 (日本時間)
composite number 合成数
7734361226467119158244405000085209550922341738312177262086408294601525332013197180981056524194609240424541796811515728357260029806058398404140302856916775166801174327982124884913777082521139<190>
prime factors 素因数
876801155268226078025621092186375787<36>
8821112038910426472035009339658783868944545955978012361854228025819678264824626365039957955645569413100321763189119085413629962310715949976492646754865497<154>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2509134725
Step 1 took 22761ms
Step 2 took 9236ms
********** Factor found in step 2: 876801155268226078025621092186375787
Found probable prime factor of 36 digits: 876801155268226078025621092186375787

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)

16×10228+173

c178

composite cofactor 合成数の残り
1046399673399058489507409212406949655401594818581128574799251365993465135986452412046608447872374202958759978223197698002045589539157249887766739573294341080054797299264114435381<178>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovNovember 15, 2013 20:38:37 UTC 2013 年 11 月 16 日 (土) 5 時 38 分 37 秒 (日本時間)
4511e61800 / 41431500Dmitry DomanovDecember 24, 2013 10:58:29 UTC 2013 年 12 月 24 日 (火) 19 時 58 分 29 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:06 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 6 秒 (日本時間)

16×10230+173

c206

composite cofactor 合成数の残り
58766183195401078632083313468535257856706066821410030805631173374991262870016910610601648020636580537795805848081525465744444528436071836693712364953465904698853654588399105765632207338261469677399337961097<206>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 15, 2013 20:38:46 UTC 2013 年 11 月 16 日 (土) 5 時 38 分 46 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:10 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 10 秒 (日本時間)
4511e6451 / 4077151CypMarch 8, 2014 01:54:44 UTC 2014 年 3 月 8 日 (土) 10 時 54 分 44 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:07 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 7 秒 (日本時間)

16×10231+173

c219

name 名前Dmitry Domanov
date 日付November 13, 2013 07:10:29 UTC 2013 年 11 月 13 日 (水) 16 時 10 分 29 秒 (日本時間)
composite number 合成数
104789541478798246229455897272337683268822717653823250881974944290059275297104123181798340455314026739530388842377529792775417302428761921282498677497652541216203017488952514492131437976660139590288043323469502093331233<219>
prime factors 素因数
44197594667780497728230849458823<32>
composite cofactor 合成数の残り
2370933130331378227883077120675648449217994614450088128368595350695234314913958763013054408735151740942638330651121539098826131826918168641740526100653981073224494090951759921552198907671<187>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3911461889
Step 1 took 30469ms
Step 2 took 11064ms
********** Factor found in step 2: 44197594667780497728230849458823
Found probable prime factor of 32 digits: 44197594667780497728230849458823

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovNovember 15, 2013 20:38:53 UTC 2013 年 11 月 16 日 (土) 5 時 38 分 53 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:11 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 11 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:04 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 4 秒 (日本時間)
4511e63 / 3790CypJanuary 7, 2014 07:14:32 UTC 2014 年 1 月 7 日 (火) 16 時 14 分 32 秒 (日本時間)

16×10232+173

c200

name 名前Dmitry Domanov
date 日付November 13, 2013 07:09:56 UTC 2013 年 11 月 13 日 (水) 16 時 9 分 56 秒 (日本時間)
composite number 合成数
32778601277937678167227480343188884484451353155630980632992880969690782642919131491352545602852030252043565498782865892709840499448715417251469003101896151603817565496517852807802651231339629927041733<200>
prime factors 素因数
73008875178340180051734938618933837<35>
448967350857943777080133536782986203274301368025562210215432115889059073303551058939023138988723861957244286757507431046576151931601901401384188329247365041686955609<165>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3842151773
Step 1 took 27543ms
Step 2 took 9962ms
********** Factor found in step 2: 73008875178340180051734938618933837
Found probable prime factor of 35 digits: 73008875178340180051734938618933837

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)

16×10233+173

c230

composite cofactor 合成数の残り
20973429286772320316698782230262036782151611676956755410489336322047006698388978462909801145673574789937997299670979328063759225031787853762764297979996591817740899497948536447887582419022900363102494527245795482847667361411511791<230>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e60--
4511e65250850Serge BatalovNovember 8, 2013 17:16:20 UTC 2013 年 11 月 9 日 (土) 2 時 16 分 20 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:07 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 7 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:06 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 6 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:04 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 4 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:07 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 7 秒 (日本時間)
1000Serge BatalovDecember 18, 2014 00:18:53 UTC 2014 年 12 月 18 日 (木) 9 時 18 分 53 秒 (日本時間)
1000Serge BatalovDecember 21, 2014 10:24:51 UTC 2014 年 12 月 21 日 (日) 19 時 24 分 51 秒 (日本時間)

16×10235+173

c194

composite cofactor 合成数の残り
27762325308156293567104553375228952946480776074171985596011778690593790246939743885695756485827795841642576128834285302751667217652736326614292759354941333626597779832161265859092975992670908093<194>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 15, 2013 20:39:06 UTC 2013 年 11 月 16 日 (土) 5 時 39 分 6 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:12 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 12 秒 (日本時間)
4511e6300 / 3681Serge BatalovMay 27, 2014 00:33:08 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 8 秒 (日本時間)
5043e6113 / 7417CypFebruary 9, 2014 17:44:52 UTC 2014 年 2 月 10 日 (月) 2 時 44 分 52 秒 (日本時間)

16×10236+173

c202

composite cofactor 合成数の残り
9684260255730445689890059506320873084862316020614138457653136865835206609533069542279374358733693623421213422002938326929658910228108515896436266469581422026493281623330957757901471485233328821862239843<202>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovNovember 15, 2013 20:39:14 UTC 2013 年 11 月 16 日 (土) 5 時 39 分 14 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:12 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 12 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:04 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 4 秒 (日本時間)

16×10237+173

c174

composite cofactor 合成数の残り
275959357504759324045129772860666168558848054047394363162684456991229908900294435704545321587838904165434542182877072139407562084299937082467640440638491182926547067410647051<174>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovNovember 15, 2013 20:39:21 UTC 2013 年 11 月 16 日 (土) 5 時 39 分 21 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:13 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 13 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:04 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 4 秒 (日本時間)

16×10238+173

c212

composite cofactor 合成数の残り
74942776120464813766581325415506433036185134849491430898137284056370451095492723203145349203634663500440797084897761841488402792290050772853699746766069794639011366583188669401867775128378492542904550336937760273<212>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovNovember 15, 2013 20:39:29 UTC 2013 年 11 月 16 日 (土) 5 時 39 分 29 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:14 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 14 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:05 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 5 秒 (日本時間)

16×10239+173

c208

composite cofactor 合成数の残り
9550744277355213292071677004419723555617242113951457900364924054386929846731865770916504327692450391646104051344300087554753077727358905925277595000471276137560007908285964675124390819422255791402346271270623<208>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 15, 2013 20:39:37 UTC 2013 年 11 月 16 日 (土) 5 時 39 分 37 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:14 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 14 秒 (日本時間)
4511e6451 / 4077151CypFebruary 19, 2014 01:11:13 UTC 2014 年 2 月 19 日 (水) 10 時 11 分 13 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:08 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 8 秒 (日本時間)

16×10241+173

c242

name 名前yoyo@Home
date 日付May 9, 2020 12:48:19 UTC 2020 年 5 月 9 日 (土) 21 時 48 分 19 秒 (日本時間)
composite number 合成数
53333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<242>
prime factors 素因数
8188467866601798236627914608010238839227191971318591<52>
6513224964936766112562219894838143932059477903774693304505056345936162525516633602519191112646717573616809317333052364898780713558566468204863070787292469460213616508395186787045884803136229<190>
factorization results 素因数分解の結果
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]
Input number is 53333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339 (242 digits)
[Sat May 09 06:54:18 2020]
Using MODMULN [mulredc:0, sqrredc:1]
Using B1=110000000, B2=776278396540, polynomial Dickson(30), sigma=0:4276977157286878502
dF=131072, k=4, d=1345890, d2=11, i0=71
Expected number of curves to find a factor of n digits:
35      40      45      50      55      60      65      70      75      80
34      135     614     3135    17884   111314  752662  5482978 4.3e+07 3.6e+08
Writing checkpoint to checkpnt at p = 55223093
Writing checkpoint to checkpnt at p = 110000000
Step 1 took 1197046ms
Using 29 small primes for NTT
Estimated memory usage: 656.00MB
Initializing tables of differences for F took 781ms
Computing roots of F took 34500ms
Building F from its roots took 19016ms
Computing 1/F took 8000ms
Initializing table of differences for G took 656ms
Computing roots of G took 30063ms
Building G from its roots took 18812ms
Computing roots of G took 29328ms
Building G from its roots took 18750ms
Computing G * H took 4313ms
Reducing  G * H mod F took 4390ms
Computing roots of G took 29266ms
Building G from its roots took 18812ms
Computing G * H took 4281ms
Reducing  G * H mod F took 4328ms
Computing roots of G took 29360ms
Building G from its roots took 18812ms
Computing G * H took 4359ms
Reducing  G * H mod F took 4375ms
Computing polyeval(F,G) took 34688ms
Computing product of all F(g_i) took 172ms
Step 2 took 318391ms
********** Factor found in step 2: 8188467866601798236627914608010238839227191971318591
Found prime factor of 52 digits: 8188467866601798236627914608010238839227191971318591
Prime cofactor 6513224964936766112562219894838143932059477903774693304505056345936162525516633602519191112646717573616809317333052364898780713558566468204863070787292469460213616508395186787045884803136229 has 190 digits
software ソフトウェア
GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] [ECM]

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e60--
4511e62050850Serge BatalovNovember 8, 2013 17:17:31 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 31 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:30:02 UTC 2014 年 1 月 6 日 (月) 11 時 30 分 2 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:25:06 UTC 2014 年 2 月 24 日 (月) 4 時 25 分 6 秒 (日本時間)
5043e62035 / 7093775Serge BatalovNovember 25, 2013 02:17:37 UTC 2013 年 11 月 25 日 (月) 11 時 17 分 37 秒 (日本時間)
760Serge BatalovFebruary 24, 2014 02:26:53 UTC 2014 年 2 月 24 日 (月) 11 時 26 分 53 秒 (日本時間)
500Serge BatalovJanuary 11, 2015 01:24:51 UTC 2015 年 1 月 11 日 (日) 10 時 24 分 51 秒 (日本時間)

16×10242+173

c194

name 名前Dmitry Domanov
date 日付November 13, 2013 07:08:47 UTC 2013 年 11 月 13 日 (水) 16 時 8 分 47 秒 (日本時間)
composite number 合成数
35729548604590231936735784774843387121890375724707365157502125939169794047506014469497753706920788363847413364308404834456230687208760658340305377313688986389417390888593927976182927565697122093<194>
prime factors 素因数
7925186775798282244309753051129003325784683<43>
4508354139198352568334688752531418713660656800909869562253670222818041525890235959732797179015593152814923478926308922999089326977914045066035752131271<151>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3984328117
Step 1 took 27580ms
Step 2 took 10063ms
********** Factor found in step 2: 7925186775798282244309753051129003325784683
Found probable prime factor of 43 digits: 7925186775798282244309753051129003325784683

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)

16×10243+173

c218

composite cofactor 合成数の残り
22950165014744594415476690605434258690129702814502581172745694811001765229755280724254621341469687582949440371562365851092869671730179817620804100940448352109175498408383367772752510929948352561479018262333591449407257<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e631001500Dmitry DomanovNovember 15, 2013 20:39:51 UTC 2013 年 11 月 16 日 (土) 5 時 39 分 51 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:15 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 15 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:04:07 UTC 2014 年 5 月 27 日 (火) 3 時 4 分 7 秒 (日本時間)
4511e64480iveliveJune 24, 2020 14:07:47 UTC 2020 年 6 月 24 日 (水) 23 時 7 分 47 秒 (日本時間)
5043e6108 / 6430iveliveJune 25, 2020 15:18:39 UTC 2020 年 6 月 26 日 (金) 0 時 18 分 39 秒 (日本時間)

16×10244+173

c239

composite cofactor 合成数の残り
42609433675353931266189920365631550368212084195175706657484333709627894478802738827873067562316962522606301881978792752241855406484676449260020606987361243045008611100236828558546826569218891851132225860890318790467310974565630112299825541<239>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e618001500Dmitry DomanovNovember 15, 2013 20:40:00 UTC 2013 年 11 月 16 日 (土) 5 時 40 分 0 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:47:16 UTC 2014 年 1 月 9 日 (木) 13 時 47 分 16 秒 (日本時間)
4511e6451 / 4077151CypMarch 9, 2014 07:42:56 UTC 2014 年 3 月 9 日 (日) 16 時 42 分 56 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:33:08 UTC 2014 年 5 月 27 日 (火) 9 時 33 分 8 秒 (日本時間)

16×10247+173

c248

name 名前Serge Batalov
date 日付November 8, 2013 16:55:01 UTC 2013 年 11 月 9 日 (土) 1 時 55 分 1 秒 (日本時間)
composite number 合成数
53333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<248>
prime factors 素因数
96518527836180785122229755416705689207<38>
552570936679173871615506749017360084997791674587496339603253961249238324746644670503120104633988843677666735817225718005820128773802127052030800075362653183976033218460452948189034152996697670013983882674089277<210>
factorization results 素因数分解の結果
Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1098256901
Step 1 took 77181ms
Step 2 took 23835ms
********** Factor found in step 2: 96518527836180785122229755416705689207
Found probable prime factor of 38 digits: 96518527836180785122229755416705689207
Probable prime cofactor 

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)

16×10248+173

c204

name 名前Dmitry Domanov
date 日付November 13, 2013 07:10:58 UTC 2013 年 11 月 13 日 (水) 16 時 10 分 58 秒 (日本時間)
composite number 合成数
857941191932222301178836215057536166443693227371480245148567647967322447563672240047237088682602592360756762671288160965783060293460568936487480426664447762717537164852410656417849516268248946499146141659<204>
prime factors 素因数
4030474197907392498388686319835901151<37>
212863586219622058000496316110713954511344963033945243032236849144238253703214294206450651156006347340113341227943141661939800685263747289608450997604917852901348786309<168>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3344690597
Step 1 took 26736ms
Step 2 took 10308ms
********** Factor found in step 2: 4030474197907392498388686319835901151
Found probable prime factor of 37 digits: 4030474197907392498388686319835901151

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)

16×10249+173

c131

name 名前Cyp
date 日付February 2, 2014 06:17:32 UTC 2014 年 2 月 2 日 (日) 15 時 17 分 32 秒 (日本時間)
composite number 合成数
97829756948968420372721355904960739688228744423057923898945687515958473677386046437693501668955445209602747986622182999695820488407<131>
prime factors 素因数
6835145309800262474093614142138727423556244070257011<52>
14312754523111552481401904677764903058869231070713314880603773023352647577089037<80>
factorization results 素因数分解の結果
02/01/14 06:55:29 v1.34.3, 
02/01/14 06:55:29 v1.34.3, ****************************
02/01/14 06:55:29 v1.34.3, Starting factorization of 97829756948968420372721355904960739688228744423057923898945687515958473677386046437693501668955445209602747986622182999695820488407
02/01/14 06:55:29 v1.34.3, using pretesting plan: none
02/01/14 06:55:29 v1.34.3, no tune info: using qs/gnfs crossover of 95 digits
02/01/14 06:55:29 v1.34.3, ****************************
02/01/14 06:55:29 v1.34.3, rho: x^2 + 3, starting 1000 iterations on C131
02/01/14 06:55:29 v1.34.3, rho: x^2 + 2, starting 1000 iterations on C131
02/01/14 06:55:29 v1.34.3, rho: x^2 + 1, starting 1000 iterations on C131
02/01/14 06:55:29 v1.34.3, final ECM pretested depth: 0.00
02/01/14 06:55:29 v1.34.3, scheduler: switching to sieve method
02/01/14 06:55:29 v1.34.3, nfs: commencing nfs on c131: 97829756948968420372721355904960739688228744423057923898945687515958473677386046437693501668955445209602747986622182999695820488407
02/01/14 06:55:29 v1.34.3, nfs: continuing with sieving - could not determine last special q; using default startq
02/01/14 06:55:29 v1.34.3, nfs: commencing lattice sieving with 6 threads
02/01/14 07:11:32 v1.34.3, nfs: commencing lattice sieving with 6 threads
[74 lines snipped]
02/02/14 05:32:21 v1.34.3, nfs: commencing lattice sieving with 6 threads
02/02/14 05:50:38 v1.34.3, nfs: commencing lattice sieving with 6 threads
02/02/14 06:08:49 v1.34.3, nfs: commencing msieve filtering
02/02/14 06:14:20 v1.34.3, nfs: commencing msieve linear algebra
02/02/14 07:13:41 v1.34.3, nfs: commencing msieve sqrt
02/02/14 07:17:31 v1.34.3, prp52 = 6835145309800262474093614142138727423556244070257011
02/02/14 07:17:31 v1.34.3, prp80 = 14312754523111552481401904677764903058869231070713314880603773023352647577089037
02/02/14 07:17:31 v1.34.3, NFS elapsed time = 87722.6236 seconds.
02/02/14 07:17:31 v1.34.3, 
02/02/14 07:17:31 v1.34.3, 
02/02/14 07:17:31 v1.34.3, Total factoring time = 87722.6513 seconds
--
Sun Feb  2 06:08:49 2014  
Sun Feb  2 06:08:49 2014  commencing relation filtering
Sun Feb  2 06:08:49 2014  estimated available RAM is 15988.7 MB
Sun Feb  2 06:08:49 2014  commencing duplicate removal, pass 1
Sun Feb  2 06:10:21 2014  found 3058786 hash collisions in 21247597 relations
Sun Feb  2 06:10:53 2014  added 119911 free relations
Sun Feb  2 06:10:53 2014  commencing duplicate removal, pass 2
Sun Feb  2 06:11:18 2014  found 2140101 duplicates and 19227407 unique relations
Sun Feb  2 06:11:18 2014  memory use: 82.6 MB
Sun Feb  2 06:11:18 2014  reading ideals above 720000
Sun Feb  2 06:11:18 2014  commencing singleton removal, initial pass
Sun Feb  2 06:13:06 2014  memory use: 376.5 MB
Sun Feb  2 06:13:06 2014  reading all ideals from disk
Sun Feb  2 06:13:06 2014  memory use: 598.1 MB
Sun Feb  2 06:13:07 2014  keeping 20098221 ideals with weight <= 200, target excess is 120803
Sun Feb  2 06:13:08 2014  commencing in-memory singleton removal
Sun Feb  2 06:13:09 2014  begin with 19227407 relations and 20098221 unique ideals
Sun Feb  2 06:13:17 2014  reduce to 8423936 relations and 7636597 ideals in 16 passes
Sun Feb  2 06:13:17 2014  max relations containing the same ideal: 117
Sun Feb  2 06:13:20 2014  removing 1818322 relations and 1494718 ideals in 323604 cliques
Sun Feb  2 06:13:20 2014  commencing in-memory singleton removal
Sun Feb  2 06:13:21 2014  begin with 6605614 relations and 7636597 unique ideals
Sun Feb  2 06:13:25 2014  reduce to 6288622 relations and 5809451 ideals in 11 passes
Sun Feb  2 06:13:25 2014  max relations containing the same ideal: 93
Sun Feb  2 06:13:27 2014  removing 1417796 relations and 1094192 ideals in 323604 cliques
Sun Feb  2 06:13:28 2014  commencing in-memory singleton removal
Sun Feb  2 06:13:28 2014  begin with 4870826 relations and 5809451 unique ideals
Sun Feb  2 06:13:31 2014  reduce to 4609344 relations and 4439933 ideals in 9 passes
Sun Feb  2 06:13:31 2014  max relations containing the same ideal: 72
Sun Feb  2 06:13:33 2014  removing 215142 relations and 185863 ideals in 29279 cliques
Sun Feb  2 06:13:33 2014  commencing in-memory singleton removal
Sun Feb  2 06:13:34 2014  begin with 4394202 relations and 4439933 unique ideals
Sun Feb  2 06:13:36 2014  reduce to 4387942 relations and 4247768 ideals in 6 passes
Sun Feb  2 06:13:36 2014  max relations containing the same ideal: 71
Sun Feb  2 06:13:37 2014  relations with 0 large ideals: 502
Sun Feb  2 06:13:37 2014  relations with 1 large ideals: 1579
Sun Feb  2 06:13:37 2014  relations with 2 large ideals: 25644
Sun Feb  2 06:13:37 2014  relations with 3 large ideals: 166599
Sun Feb  2 06:13:37 2014  relations with 4 large ideals: 566697
Sun Feb  2 06:13:37 2014  relations with 5 large ideals: 1095195
Sun Feb  2 06:13:37 2014  relations with 6 large ideals: 1259920
Sun Feb  2 06:13:37 2014  relations with 7+ large ideals: 1271806
Sun Feb  2 06:13:37 2014  commencing 2-way merge
Sun Feb  2 06:13:39 2014  reduce to 2593093 relation sets and 2452919 unique ideals
Sun Feb  2 06:13:39 2014  commencing full merge
Sun Feb  2 06:14:07 2014  memory use: 300.8 MB
Sun Feb  2 06:14:08 2014  found 1343908 cycles, need 1325119
Sun Feb  2 06:14:08 2014  weight of 1325119 cycles is about 92919065 (70.12/cycle)
Sun Feb  2 06:14:08 2014  distribution of cycle lengths:
Sun Feb  2 06:14:08 2014  1 relations: 165986
Sun Feb  2 06:14:08 2014  2 relations: 149501
Sun Feb  2 06:14:08 2014  3 relations: 147605
Sun Feb  2 06:14:08 2014  4 relations: 135781
Sun Feb  2 06:14:08 2014  5 relations: 125575
Sun Feb  2 06:14:08 2014  6 relations: 110744
Sun Feb  2 06:14:08 2014  7 relations: 97668
Sun Feb  2 06:14:08 2014  8 relations: 84696
Sun Feb  2 06:14:08 2014  9 relations: 71244
Sun Feb  2 06:14:08 2014  10+ relations: 236319
Sun Feb  2 06:14:08 2014  heaviest cycle: 20 relations
Sun Feb  2 06:14:08 2014  commencing cycle optimization
Sun Feb  2 06:14:10 2014  start with 7649262 relations
Sun Feb  2 06:14:18 2014  pruned 179374 relations
Sun Feb  2 06:14:18 2014  memory use: 255.4 MB
Sun Feb  2 06:14:18 2014  distribution of cycle lengths:
Sun Feb  2 06:14:18 2014  1 relations: 165986
Sun Feb  2 06:14:18 2014  2 relations: 152741
Sun Feb  2 06:14:18 2014  3 relations: 152524
Sun Feb  2 06:14:18 2014  4 relations: 138929
Sun Feb  2 06:14:18 2014  5 relations: 128419
Sun Feb  2 06:14:18 2014  6 relations: 112771
Sun Feb  2 06:14:18 2014  7 relations: 98786
Sun Feb  2 06:14:18 2014  8 relations: 85298
Sun Feb  2 06:14:18 2014  9 relations: 70897
Sun Feb  2 06:14:18 2014  10+ relations: 218768
Sun Feb  2 06:14:18 2014  heaviest cycle: 20 relations
Sun Feb  2 06:14:20 2014  RelProcTime: 331
Sun Feb  2 06:14:20 2014  
Sun Feb  2 06:14:20 2014  commencing linear algebra
Sun Feb  2 06:14:20 2014  read 1325119 cycles
Sun Feb  2 06:14:22 2014  cycles contain 4281943 unique relations
Sun Feb  2 06:14:57 2014  read 4281943 relations
Sun Feb  2 06:15:01 2014  using 20 quadratic characters above 268434732
Sun Feb  2 06:15:16 2014  building initial matrix
Sun Feb  2 06:15:50 2014  memory use: 570.4 MB
Sun Feb  2 06:15:50 2014  read 1325119 cycles
Sun Feb  2 06:15:51 2014  matrix is 1324964 x 1325119 (396.1 MB) with weight 126786622 (95.68/col)
Sun Feb  2 06:15:51 2014  sparse part has weight 89270738 (67.37/col)
Sun Feb  2 06:15:58 2014  filtering completed in 2 passes
Sun Feb  2 06:15:58 2014  matrix is 1324113 x 1324286 (396.1 MB) with weight 126752639 (95.71/col)
Sun Feb  2 06:15:58 2014  sparse part has weight 89261560 (67.40/col)
Sun Feb  2 06:16:02 2014  matrix starts at (0, 0)
Sun Feb  2 06:16:02 2014  matrix is 1324113 x 1324286 (396.1 MB) with weight 126752639 (95.71/col)
Sun Feb  2 06:16:02 2014  sparse part has weight 89261560 (67.40/col)
Sun Feb  2 06:16:02 2014  saving the first 48 matrix rows for later
Sun Feb  2 06:16:02 2014  matrix includes 64 packed rows
Sun Feb  2 06:16:02 2014  matrix is 1324065 x 1324286 (383.5 MB) with weight 100327024 (75.76/col)
Sun Feb  2 06:16:02 2014  sparse part has weight 87291851 (65.92/col)
Sun Feb  2 06:16:02 2014  using block size 65536 for processor cache size 8192 kB
Sun Feb  2 06:16:07 2014  commencing Lanczos iteration (6 threads)
Sun Feb  2 06:16:07 2014  memory use: 351.8 MB
Sun Feb  2 06:16:11 2014  linear algebra at 0.1%, ETA 0h58m
Sun Feb  2 06:16:12 2014  checkpointing every 1460000 dimensions
Sun Feb  2 07:13:40 2014  lanczos halted after 20943 iterations (dim = 1324065)
Sun Feb  2 07:13:41 2014  recovered 32 nontrivial dependencies
Sun Feb  2 07:13:41 2014  BLanczosTime: 3561
Sun Feb  2 07:13:41 2014  
Sun Feb  2 07:13:41 2014  commencing square root phase
Sun Feb  2 07:13:41 2014  reading relations for dependency 1
Sun Feb  2 07:13:41 2014  read 661951 cycles
Sun Feb  2 07:13:41 2014  cycles contain 2141552 unique relations
Sun Feb  2 07:14:02 2014  read 2141552 relations
Sun Feb  2 07:14:09 2014  multiplying 2141552 relations
Sun Feb  2 07:15:31 2014  multiply complete, coefficients have about 96.90 million bits
Sun Feb  2 07:15:32 2014  initial square root is modulo 9027283
Sun Feb  2 07:17:31 2014  sqrtTime: 230
--
# Murphy_E = 6.922e-11, selected by Erik Branger
n: 97829756948968420372721355904960739688228744423057923898945687515958473677386046437693501668955445209602747986622182999695820488407
Y0: -25896309991297026355895319
Y1: 83763063451859
c0: -11618677389551150368389487742540
c1: 1569096148718047290378579592
c2: -6350945899483799031573
c3: -4044840997200998
c4: 13530901612
c5: 8400
skew: 625088.37
type: gnfs
# selected mechanically
rlim: 10400000
alim: 10400000
lpbr: 28
lpba: 28
mfbr: 54
mfba: 54
rlambda: 2.6
alambda: 2.6
software ソフトウェア
yafu v1.34.3
execution environment 実行環境
Gentoo Linux, Intel(R) Core(TM) i7-3770K CPU

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6418118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
300Ignacio SantosOctober 6, 2013 09:16:18 UTC 2013 年 10 月 6 日 (日) 18 時 16 分 18 秒 (日本時間)
403e6110Ignacio SantosOctober 6, 2013 09:16:18 UTC 2013 年 10 月 6 日 (日) 18 時 16 分 18 秒 (日本時間)
4511e62422 / 443732Ignacio SantosOctober 6, 2013 09:16:18 UTC 2013 年 10 月 6 日 (日) 18 時 16 分 18 秒 (日本時間)
230Ignacio SantosOctober 6, 2013 16:25:00 UTC 2013 年 10 月 7 日 (月) 1 時 25 分 0 秒 (日本時間)
230Ignacio SantosOctober 20, 2013 22:04:45 UTC 2013 年 10 月 21 日 (月) 7 時 4 分 45 秒 (日本時間)
230Ignacio SantosOctober 21, 2013 21:13:40 UTC 2013 年 10 月 22 日 (火) 6 時 13 分 40 秒 (日本時間)
850Serge BatalovNovember 8, 2013 01:45:16 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 16 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:08:24 UTC 2013 年 11 月 9 日 (土) 2 時 8 分 24 秒 (日本時間)

16×10250+173

c221

composite cofactor 合成数の残り
87876766268455062232584768498315062319462648482216047888447632184266094728435092782554651147904908963086629176225317841689756704843461962344855369220227826662697124795054845541769825127255593368589377800822636713697534653<221>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e6118Makoto KamadaOctober 5, 2013 12:00:00 UTC 2013 年 10 月 5 日 (土) 21 時 0 分 0 秒 (日本時間)
403e61500Dmitry DomanovNovember 15, 2013 20:40:20 UTC 2013 年 11 月 16 日 (土) 5 時 40 分 20 秒 (日本時間)
4511e630001500Dmitry DomanovJanuary 6, 2014 09:23:38 UTC 2014 年 1 月 6 日 (月) 18 時 23 分 38 秒 (日本時間)
1500Dmitry DomanovJanuary 31, 2014 19:30:09 UTC 2014 年 2 月 1 日 (土) 4 時 30 分 9 秒 (日本時間)
5043e6360 / 6823Dmitry DomanovJanuary 13, 2014 11:25:20 UTC 2014 年 1 月 13 日 (月) 20 時 25 分 20 秒 (日本時間)

16×10251+173

c218

composite cofactor 合成数の残り
58720529910220015399339458682333971641477226769981749396119644379907958909396342649168802066363908749615962664898460272773979469538089570455007926502892631273807510004315386688894763607394473982696435133012007045640023<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:53:51 UTC 2021 年 5 月 14 日 (金) 1 時 53 分 51 秒 (日本時間)
403e62104610Marlon TrifunovicFebruary 19, 2022 04:43:11 UTC 2022 年 2 月 19 日 (土) 13 時 43 分 11 秒 (日本時間)
1494ebinaAugust 8, 2022 06:24:15 UTC 2022 年 8 月 8 日 (月) 15 時 24 分 15 秒 (日本時間)

16×10254+173

c228

composite cofactor 合成数の残り
767064131716384402276527873825762452102366056470431837081549921878642793995404183386339889856123616562438893004770807557879637828866959591942572744326133131796517174349207996038006058178211732767759888969574814813136229701600177<228>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:54:05 UTC 2021 年 5 月 14 日 (金) 1 時 54 分 5 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 19, 2022 06:02:10 UTC 2022 年 2 月 19 日 (土) 15 時 2 分 10 秒 (日本時間)

16×10256+173

c249

composite cofactor 合成数の残り
143724404014218651696016550856820624975851493008345363807028281632795212726225389575125159635032392664564763730495575461738834018040436305933889912735132080719638798367291848331506223373139702390649126429014358311394229742387273363558629394175021117<249>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:54:15 UTC 2021 年 5 月 14 日 (金) 1 時 54 分 15 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 13:39:37 UTC 2022 年 3 月 4 日 (金) 22 時 39 分 37 秒 (日本時間)

16×10257+173

c173

name 名前Ignacio Santos
date 日付March 2, 2021 15:55:23 UTC 2021 年 3 月 3 日 (水) 0 時 55 分 23 秒 (日本時間)
composite number 合成数
11928780380070444983581169290907584521959821188433757268651179636071861148471610823140276986559472140885677586071866132286352404897859169523527480669421779802899840329404749<173>
prime factors 素因数
13613522329702896343020226870722020416433<41>
composite cofactor 合成数の残り
876244963733113483401939370471511053457335840854343363013874176131581081234156393744273618010736834292463699811196278303923422978653<132>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:2884100629
Step 1 took 4375ms
********** Factor found in step 2: 13613522329702896343020226870722020416433
Found prime factor of 41 digits: 13613522329702896343020226870722020416433
Composite cofactor 876244963733113483401939370471511053457335840854343363013874176131581081234156393744273618010736834292463699811196278303923422978653 has 132 digits
 
software ソフトウェア
GMP-ECM

c132

name 名前Eric Jeancolas
date 日付March 3, 2021 15:27:05 UTC 2021 年 3 月 4 日 (木) 0 時 27 分 5 秒 (日本時間)
composite number 合成数
876244963733113483401939370471511053457335840854343363013874176131581081234156393744273618010736834292463699811196278303923422978653<132>
prime factors 素因数
2065346472774742591313801967196222329696235884947082077<55>
424260517682488282547332958124227858678078138257750789666937460498975644959489<78>
factorization results 素因数分解の結果
876244963733113483401939370471511053457335840854343363013874176131581081234156393744273618010736834292463699811196278303923422978653=2065346472774742591313801967196222329696235884947082077*424260517682488282547332958124227858678078138257750789666937460498975644959489

cado polynomial
n: 876244963733113483401939370471511053457335840854343363013874176131581081234156393744273618010736834292463699811196278303923422978653
skew: 35090.771
c0: 74052431517021131804405025436
c1: -1253263275437986679349341
c2: -512805421534742894134
c3: -915438419704825
c4: 51485846880
c5: 1678320
Y0: -15971622819442243189380786
Y1: 2453228873856618691
# MurphyE (Bf=2.684e+08,Bg=2.684e+08,area=9.547e+13) = 3.574e-07
# f(x) = 1678320*x^5+51485846880*x^4-915438419704825*x^3-512805421534742894134*x^2-1253263275437986679349341*x+74052431517021131804405025436
# g(x) = 2453228873856618691*x-15971622819442243189380786

cado parameters (extracts)
tasks.lim0 = 13124945
tasks.lim1 = 44217255
tasks.lpb0 = 28
tasks.lpb1 = 28
tasks.sieve.mfb0 = 56
tasks.sieve.mfb1 = 56
tasks.I = 14
cado log -(extracts)
Info:Square Root: Factors: 424260517682488282547332958124227858678078138257750789666937460498975644959489 2065346472774742591313801967196222329696235884947082077
Info:Polynomial Selection (size optimized): Aggregate statistics:
Info:Polynomial Selection (size optimized): potential collisions: 38210.8
Info:Polynomial Selection (size optimized): raw lognorm (nr/min/av/max/std): 38880/39.730/47.158/50.620/0.838
Info:Polynomial Selection (size optimized): optimized lognorm (nr/min/av/max/std): 30674/38.300/42.433/47.990/1.096
Info:Polynomial Selection (size optimized): Total time: 4936.77
Info:Polynomial Selection (root optimized): Aggregate statistics:
Info:Polynomial Selection (root optimized): Total time: 6071.76
Info:Polynomial Selection (root optimized): Rootsieve time: 6067.25
Info:Generate Factor Base: Total cpu/real time for makefb: 39.19/10.4032
Info:Generate Free Relations: Total cpu/real time for freerel: 235.28/59.4248
Info:Lattice Sieving: Aggregate statistics:
Info:Lattice Sieving: Total number of relations: 25204316
Info:Lattice Sieving: Average J: 7563 for 93555 special-q, max bucket fill -bkmult 1.0,1s:1.078040
Info:Lattice Sieving: Total time: 156773s
Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 47.12/127.149
Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 126.39999999999998s
Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 386.91/366.94
Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics:
Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 326.3s
Info:Filtering - Singleton removal: Total cpu/real time for purge: 290.63/318.122
Info:Filtering - Merging: Merged matrix has 1952483 rows and total weight 332907680 (170.5 entries per row on average)
Info:Filtering - Merging: Total cpu/real time for merge: 276.49/80.0848
Info:Filtering - Merging: Total cpu/real time for replay: 77.64/67.5213
Info:Linear Algebra: Total cpu/real time for bwc: 63712.8/16336.8
Info:Linear Algebra: Aggregate statistics:
Info:Linear Algebra: Krylov: WCT time 10393.18, iteration CPU time 0.16, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (61184 iterations)
Info:Linear Algebra: Lingen CPU time 397.0, WCT time 114.97
Info:Linear Algebra: Mksol: WCT time 5709.97, iteration CPU time 0.18, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (30720 iterations)
Info:Quadratic Characters: Total cpu/real time for characters: 75.96/30.3824
Info:Square Root: Total cpu/real time for sqrt: 1593.31/423.29
Info:HTTP server: Shutting down HTTP server
Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 382984/39131.7
Info:root: Cleaning up computation data in /tmp/cado.7stsiphh
424260517682488282547332958124227858678078138257750789666937460498975644959489 2065346472774742591313801967196222329696235884947082077
software ソフトウェア
cado-nfs-3.0.0
execution environment 実行環境
6 x Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)]
GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosFebruary 27, 2021 09:19:37 UTC 2021 年 2 月 27 日 (土) 18 時 19 分 37 秒 (日本時間)

16×10258+173

c189

composite cofactor 合成数の残り
543763883166056887920514279196720265870679367202800001004617861459019457586378260831319207441671097954341142127333037312039131405530813505798346209888343457398771396280182189051727837643579<189>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:54:24 UTC 2021 年 5 月 14 日 (金) 1 時 54 分 24 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 17, 2022 21:59:28 UTC 2022 年 2 月 18 日 (金) 6 時 59 分 28 秒 (日本時間)

16×10259+173

c222

composite cofactor 合成数の残り
125354326994228754718550794564864017071552559582747584428632772898189838577286927886987059507148665428924014719175053463972436985213239225205890533266744421070752361495765861809749435541261787720092863252020435163212312277<222>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:54:34 UTC 2021 年 5 月 14 日 (金) 1 時 54 分 34 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 19, 2022 12:05:24 UTC 2022 年 2 月 19 日 (土) 21 時 5 分 24 秒 (日本時間)

16×10260+173

c201

composite cofactor 合成数の残り
387038829132462554749015529167721321623715007175643033036745732421730654234416993011267641943146372539778181978328351278849119651106804997208070712746287700486466825899451513217857585910245623389960639<201>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:54:43 UTC 2021 年 5 月 14 日 (金) 1 時 54 分 43 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 18, 2022 02:18:54 UTC 2022 年 2 月 18 日 (金) 11 時 18 分 54 秒 (日本時間)

16×10261+173

c241

composite cofactor 合成数の残り
3196823413012460912050549314298159257262515802587932552156201003746605632867220390116430026445887436222600088724455445311674281671472046803022843519666320393127731133052351599249004891714097573606117420811829590311628629105808977792926492417<241>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:54:53 UTC 2021 年 5 月 14 日 (金) 1 時 54 分 53 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 15:22:10 UTC 2022 年 3 月 5 日 (土) 0 時 22 分 10 秒 (日本時間)

16×10262+173

c186

composite cofactor 合成数の残り
400952435692658256126931869974762113609779529243992392179238362123797597493697868790990315103080206950215133410631844155369940443419915444275542547310833821285149929210916364645346283883<186>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:55:06 UTC 2021 年 5 月 14 日 (金) 1 時 55 分 6 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 18, 2022 18:34:30 UTC 2022 年 2 月 19 日 (土) 3 時 34 分 30 秒 (日本時間)

16×10263+173

c264

composite cofactor 合成数の残り
533333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<264>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e62352iveliveFebruary 1, 2021 13:10:03 UTC 2021 年 2 月 1 日 (月) 22 時 10 分 3 秒 (日本時間)
4511e640001000Dmitry DomanovApril 17, 2021 15:43:14 UTC 2021 年 4 月 18 日 (日) 0 時 43 分 14 秒 (日本時間)
1000Dmitry DomanovJune 8, 2021 06:49:14 UTC 2021 年 6 月 8 日 (火) 15 時 49 分 14 秒 (日本時間)
1000Ignacio SantosJune 24, 2021 19:00:07 UTC 2021 年 6 月 25 日 (金) 4 時 0 分 7 秒 (日本時間)
1000Ignacio SantosJune 27, 2021 20:47:50 UTC 2021 年 6 月 28 日 (月) 5 時 47 分 50 秒 (日本時間)
5043e672001800Dmitry DomanovDecember 1, 2021 23:05:40 UTC 2021 年 12 月 2 日 (木) 8 時 5 分 40 秒 (日本時間)
1800Dmitry DomanovFebruary 3, 2022 13:29:43 UTC 2022 年 2 月 3 日 (木) 22 時 29 分 43 秒 (日本時間)
1800Dmitry DomanovApril 7, 2022 23:21:50 UTC 2022 年 4 月 8 日 (金) 8 時 21 分 50 秒 (日本時間)
1800Dmitry DomanovApril 29, 2022 23:17:12 UTC 2022 年 4 月 30 日 (土) 8 時 17 分 12 秒 (日本時間)

16×10264+173

c200

composite cofactor 合成数の残り
13142745338212844270731396882003070085873205264869585926410360563150896964923967653908413025314882551979691368180443511272544580515540709281100455713587964452906810113494319579131847591790760319527683<200>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:55:23 UTC 2021 年 5 月 14 日 (金) 1 時 55 分 23 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 18, 2022 22:28:31 UTC 2022 年 2 月 19 日 (土) 7 時 28 分 31 秒 (日本時間)

16×10266+173

c231

composite cofactor 合成数の残り
798038995201788764533293787700674397930999473156660081567176802275968568901772689065133304150048032410835053659843216547246055816466522437723754193256991538230994541735172660138490953576805179253437099005376625768385189520930668723<231>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:55:33 UTC 2021 年 5 月 14 日 (金) 1 時 55 分 33 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 19, 2022 20:56:23 UTC 2022 年 2 月 20 日 (日) 5 時 56 分 23 秒 (日本時間)

16×10267+173

c220

composite cofactor 合成数の残り
1575625024047525763972371660125977263204757992275833368856516214922583234669210731489778371418162707235616880615379035423002926862189519000045870616913162655886187095286919783395876211377976611794406892034818946105815401<220>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:55:42 UTC 2021 年 5 月 14 日 (金) 1 時 55 分 42 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 20, 2022 03:58:41 UTC 2022 年 2 月 20 日 (日) 12 時 58 分 41 秒 (日本時間)

16×10268+173

c236

composite cofactor 合成数の残り
21243523801201708267945559854345051623240355668496279600143304492129126804195087846321382915112040877222897933742288858260539702082332544783691683268678123014189225490662069551406355287173018381892503207525994723207192772635542998408487<236>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:55:51 UTC 2021 年 5 月 14 日 (金) 1 時 55 分 51 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 2, 2022 19:49:30 UTC 2022 年 3 月 3 日 (木) 4 時 49 分 30 秒 (日本時間)

16×10269+173

c232

name 名前Ignacio Santos
date 日付May 13, 2021 16:40:20 UTC 2021 年 5 月 14 日 (金) 1 時 40 分 20 秒 (日本時間)
composite number 合成数
1468839741864227507721369767858045384900980833754004308415883188040634824362916497590637753879040122886592853287357179224793493908198302337236587745763164681263917543636654130280232751499307999088099518315369168610392332860490551963<232>
prime factors 素因数
55043596777392308219701944226418623<35>
composite cofactor 合成数の残り
26685024741470279831461843423910157646169227018411391158090521979722891541486620919018383492902600233618191150487769618689577925136989634083416749090447622704271394708246371424479311451242799084581<197>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:766996999
Step 1 took 3125ms
********** Factor found in step 2: 55043596777392308219701944226418623
Found prime factor of 35 digits: 55043596777392308219701944226418623
Composite cofactor 26685024741470279831461843423910157646169227018411391158090521979722891541486620919018383492902600233618191150487769618689577925136989634083416749090447622704271394708246371424479311451242799084581 has 197 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 14, 2021 21:19:46 UTC 2021 年 5 月 15 日 (土) 6 時 19 分 46 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 20, 2022 03:11:49 UTC 2022 年 2 月 20 日 (日) 12 時 11 分 49 秒 (日本時間)

16×10270+173

c245

composite cofactor 合成数の残り
62518079655349907454621988674090026157843200997187738196072468107705790194741135344301657408801023929989870439076287211141754664317795412546125491274284365891490126753001976290518754484282985664735670160312351338996027422345919977980133558387199<245>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:56:05 UTC 2021 年 5 月 14 日 (金) 1 時 56 分 5 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 10:58:37 UTC 2022 年 3 月 4 日 (金) 19 時 58 分 37 秒 (日本時間)

16×10271+173

c254

composite cofactor 合成数の残り
56706614808358511855455836876484708966744505520240918667089627623360396314024686161623415943086978699743740603384121046688476252339776027337439810760219495085432843721626465516816133006711712283607974107683476425868001819369417797436217878372424832799233<254>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:56:14 UTC 2021 年 5 月 14 日 (金) 1 時 56 分 14 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 18:57:06 UTC 2022 年 3 月 8 日 (火) 3 時 57 分 6 秒 (日本時間)

16×10272+173

c258

composite cofactor 合成数の残り
912518682817435082107829319778251406832275010445113180927336781547889665387467748691894426939258178962391868112782388406088360679797064509712800049513420266322693447845826455586838715189449999120095488390246175385678704334814439095939333715776445134805598869<258>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:56:24 UTC 2021 年 5 月 14 日 (金) 1 時 56 分 24 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 8, 2022 16:12:33 UTC 2022 年 3 月 9 日 (水) 1 時 12 分 33 秒 (日本時間)

16×10273+173

c262

composite cofactor 合成数の残り
6422591338515887374683687654907109380762666409327195345573499109735249477183259714909598039041137349162121348167382755563053615808124510885958243079718671648762352500279905133794326293148474977259330814102499701858967792229733341453491509761547691514125270038911<262>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:56:33 UTC 2021 年 5 月 14 日 (金) 1 時 56 分 33 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 12:46:06 UTC 2022 年 3 月 7 日 (月) 21 時 46 分 6 秒 (日本時間)

16×10274+173

c252

composite cofactor 合成数の残り
591614501924637434591000844420911399380225335754090562500274712833204460617577105651719168908973054263523963446486371782015139161659482791405247814467715751470144755501336336966481797026310296664943282725080292069953871445075790867608766166567307239229<252>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:56:45 UTC 2021 年 5 月 14 日 (金) 1 時 56 分 45 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 12:48:04 UTC 2022 年 3 月 7 日 (月) 21 時 48 分 4 秒 (日本時間)

16×10275+173

c276

name 名前Dmitry Domanov
date 日付February 27, 2021 13:23:56 UTC 2021 年 2 月 27 日 (土) 22 時 23 分 56 秒 (日本時間)
composite number 合成数
533333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<276>
prime factors 素因数
1895233733486797313888534346341404159<37>
composite cofactor 合成数の残り
281407682814996006211016828655511990872282798062762825482810698299289261614952450439438958684739978183153078629253955966977924749168496266106225310086075718686855277343996993345015556080120426426691878821389559860913816043705409571923194021<240>
factorization results 素因数分解の結果
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:4239971597
Step 1 took 19321ms
Step 2 took 7490ms
********** Factor found in step 2: 1895233733486797313888534346341404159
Found prime factor of 37 digits: 1895233733486797313888534346341404159
Composite cofactor 281407682814996006211016828655511990872282798062762825482810698299289261614952450439438958684739978183153078629253955966977924749168496266106225310086075718686855277343996993345015556080120426426691878821389559860913816043705409571923194021 has 240 digits

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200 / 2350Dmitry DomanovFebruary 27, 2021 11:21:53 UTC 2021 年 2 月 27 日 (土) 20 時 21 分 53 秒 (日本時間)

16×10277+173

c240

composite cofactor 合成数の残り
477666628199263948366021471467857833843132941799861578501027094996792807307553376647530062998560732867888169305002001358604432471252804417859335930259909628019214509535387897831342223172855058427846334133993745067974978795818580415827406997<240>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:57:05 UTC 2021 年 5 月 14 日 (金) 1 時 57 分 5 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 4, 2022 08:56:13 UTC 2022 年 3 月 4 日 (金) 17 時 56 分 13 秒 (日本時間)

16×10279+173

c242

composite cofactor 合成数の残り
37977979449588526643892992100948828734439362334623865019578925396115846989577814026145754850223748551960444528914952697216509310819995397997623635311286682667969056837007029497791422833708387067353464411672083164828487403788904661809850325249<242>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:57:14 UTC 2021 年 5 月 14 日 (金) 1 時 57 分 14 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 3, 2022 21:38:58 UTC 2022 年 3 月 4 日 (金) 6 時 38 分 58 秒 (日本時間)

16×10280+173

c278

composite cofactor 合成数の残り
33905488450942996397541852087306632761178215723670269124814579360033905488450942996397541852087306632761178215723670269124814579360033905488450942996397541852087306632761178215723670269124814579360033905488450942996397541852087306632761178215723670269124814579360033905488450943<278>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:57:22 UTC 2021 年 5 月 14 日 (金) 1 時 57 分 22 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 1, 2022 18:07:50 UTC 2022 年 3 月 2 日 (水) 3 時 7 分 50 秒 (日本時間)

16×10281+173

c277

composite cofactor 合成数の残り
1449405336166920765539663429963375338911732120905769629704112959404874168969862333669414195657038085842842791156090990043491218868358666220974525795338531263220161952928749951309039488142505532651931649667859708433999063321801502127455269992508386168687228293116864646376803717<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:57:33 UTC 2021 年 5 月 14 日 (金) 1 時 57 分 33 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 18:13:07 UTC 2022 年 3 月 11 日 (金) 3 時 13 分 7 秒 (日本時間)

16×10282+173

c267

composite cofactor 合成数の残り
688882736164367469372298226291040138023352930228853497793118719504676843962146879197905995094840556412100366984605474844111377837059350887474102414489818027593960532970437331930455137177760185570764775040888583186965423627242478397356159910473611316429956708285882687<267>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:57:41 UTC 2021 年 5 月 14 日 (金) 1 時 57 分 41 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 23:18:33 UTC 2022 年 3 月 8 日 (火) 8 時 18 分 33 秒 (日本時間)

16×10283+173

c272

composite cofactor 合成数の残り
54875009276474942284607331861863901668136654740254099936655436750285021240354546535821996359378037373439521945003268069274727984312366839728424228001428957268789565668486650150494896823458926603287519457542861189432771696818362746500541773984256159885706475055107396615193<272>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:57:52 UTC 2021 年 5 月 14 日 (金) 1 時 57 分 52 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 1, 2022 18:09:51 UTC 2022 年 3 月 2 日 (水) 3 時 9 分 51 秒 (日本時間)

16×10284+173

c259

composite cofactor 合成数の残り
7044256692726842771821551918820536745538750098207297303920336200381592534682685359732550512061078278354597002819608819710248223049693649157380802120586353381745962425769949428750013271812420131656147492347004526527298324703253465926979997169619682167177539699<259>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:58:01 UTC 2021 年 5 月 14 日 (金) 1 時 58 分 1 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 8, 2022 08:10:44 UTC 2022 年 3 月 8 日 (火) 17 時 10 分 44 秒 (日本時間)

16×10285+173

c277

composite cofactor 合成数の残り
9981369791998303526464672800339427958352163109466486632949262638065917411524983764413067567659465297383930326640195437665962925822632542277275482082584385149963315627562371635022676989067425005728230144176326407091775214858545053517381782248523971722761911871670112494410643461<277>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:58:09 UTC 2021 年 5 月 14 日 (金) 1 時 58 分 9 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 13:54:00 UTC 2022 年 3 月 10 日 (木) 22 時 54 分 0 秒 (日本時間)

16×10287+173

c265

composite cofactor 合成数の残り
6232187373321795483891892649806644150533852570841870098218005411686347309124788773447461577270232375565381533156910750993873234488627719022610882349687525873662482938736587028998807279415937185297107768662016267213821686688543639076306499285335351724500575450855449<265>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:58:22 UTC 2021 年 5 月 14 日 (金) 1 時 58 分 22 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 17:14:00 UTC 2022 年 3 月 8 日 (火) 2 時 14 分 0 秒 (日本時間)

16×10288+173

c218

composite cofactor 合成数の残り
74529328482034061092105569244499296161403118684464162739818290455540184578381233285955353603604569548882718160917365429605139887720361890416614492003438203153838391510627349283907715175273389388870142556665445555183417<218>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:58:31 UTC 2021 年 5 月 14 日 (金) 1 時 58 分 31 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicFebruary 16, 2022 22:08:35 UTC 2022 年 2 月 17 日 (木) 7 時 8 分 35 秒 (日本時間)

16×10289+173

c281

composite cofactor 合成数の残り
16704369247616653665181050746146020467651284810625409236622865145108497727924261501158862119076094128285074248231380195620272469249380541095652351529512272783033857500644254374147848592568916283631277625927944559627525949460089985148812432690859916393280949815747408903669498060073<281>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:58:41 UTC 2021 年 5 月 14 日 (金) 1 時 58 分 41 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 10, 2022 13:39:56 UTC 2022 年 3 月 10 日 (木) 22 時 39 分 56 秒 (日本時間)

16×10291+173

c287

name 名前Ignacio Santos
date 日付May 13, 2021 16:41:19 UTC 2021 年 5 月 14 日 (金) 1 時 41 分 19 秒 (日本時間)
composite number 合成数
89767110452818967790438680647894119693220900027491177576175808885821845948417574156048900633419173132703841471282940321702882085289975818984621771890551450580400473521507638620055094564040417641481381740247645015961714327391872710237377902703673157950841286138275012763761017510196982703<287>
prime factors 素因数
2146560767021659995195169163398147519<37>
composite cofactor 合成数の残り
41819039941445630449389640298080987253434458368316878092666882091016418498199256407315051712709340716101893652391689829615801584453814506729513771669932790890045323122284850760282539894450015101587380306942721214722672769559820838896197799940459435537<251>
factorization results 素因数分解の結果
Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1:1431899475
Step 1 took 5109ms
********** Factor found in step 2: 2146560767021659995195169163398147519
Found prime factor of 37 digits: 2146560767021659995195169163398147519
Composite cofactor 41819039941445630449389640298080987253434458368316878092666882091016418498199256407315051712709340716101893652391689829615801584453814506729513771669932790890045323122284850760282539894450015101587380306942721214722672769559820838896197799940459435537 has 251 digits
 
software ソフトウェア
GMP-ECM

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 14, 2021 21:20:01 UTC 2021 年 5 月 15 日 (土) 6 時 20 分 1 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 8, 2022 02:27:25 UTC 2022 年 3 月 8 日 (火) 11 時 27 分 25 秒 (日本時間)

16×10292+173

c291

composite cofactor 合成数の残り
372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960372960373<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:58:54 UTC 2021 年 5 月 14 日 (金) 1 時 58 分 54 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 11, 2022 02:27:11 UTC 2022 年 3 月 11 日 (金) 11 時 27 分 11 秒 (日本時間)

16×10293+173

c291

composite cofactor 合成数の残り
431150633252492589598490972783616275936405281595257343034222581514416599299380220964699541902452169226623551603341417407706817569388305039073026138507140932363244408515225006736728644570196712476421449744004311506332524925895984909727836162759364052815952573430342225815144165992993802209647<291>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:59:02 UTC 2021 年 5 月 14 日 (金) 1 時 59 分 2 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 11, 2022 02:21:49 UTC 2022 年 3 月 11 日 (金) 11 時 21 分 49 秒 (日本時間)

16×10294+173

c268

composite cofactor 合成数の残り
3685449549180399158993201260693085769382242764144841761700979033686737113837502043735739014546631280723652802791037050624903019000127720462530718472765886469466431532820564506821904506418421640333128044153683146102351960303174654355442437674595430368129750127300989569<268>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:59:11 UTC 2021 年 5 月 14 日 (金) 1 時 59 分 11 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 7, 2022 15:37:02 UTC 2022 年 3 月 8 日 (火) 0 時 37 分 2 秒 (日本時間)

16×10295+173

c296

composite cofactor 合成数の残り
53333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333339<296>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 24, 2021 21:20:44 UTC 2021 年 1 月 25 日 (月) 6 時 20 分 44 秒 (日本時間)
4511e650001000Dmitry DomanovMarch 12, 2021 23:54:57 UTC 2021 年 3 月 13 日 (土) 8 時 54 分 57 秒 (日本時間)
1000Dmitry DomanovMay 18, 2021 06:02:44 UTC 2021 年 5 月 18 日 (火) 15 時 2 分 44 秒 (日本時間)
1000Ignacio SantosJuly 6, 2021 20:51:12 UTC 2021 年 7 月 7 日 (水) 5 時 51 分 12 秒 (日本時間)
1000Ignacio SantosJuly 21, 2021 10:10:33 UTC 2021 年 7 月 21 日 (水) 19 時 10 分 33 秒 (日本時間)
1000Ignacio SantosJuly 22, 2021 19:46:50 UTC 2021 年 7 月 23 日 (金) 4 時 46 分 50 秒 (日本時間)
5043e672001800Dmitry DomanovNovember 18, 2021 21:06:28 UTC 2021 年 11 月 19 日 (金) 6 時 6 分 28 秒 (日本時間)
1800Dmitry DomanovJanuary 7, 2022 01:02:13 UTC 2022 年 1 月 7 日 (金) 10 時 2 分 13 秒 (日本時間)
1800Dmitry DomanovMarch 19, 2022 00:47:42 UTC 2022 年 3 月 19 日 (土) 9 時 47 分 42 秒 (日本時間)
1800Dmitry DomanovMarch 25, 2022 05:37:40 UTC 2022 年 3 月 25 日 (金) 14 時 37 分 40 秒 (日本時間)

16×10298+173

c287

composite cofactor 合成数の残り
14562895921379208740481595326045046026715746379896399396222875346649448984829307798154999688460131176896609239276189506032017416910613393739754971543904055582915861570437128352757917652092537030133140349794705513010366510851267786025800581093513233572476461685635939677973362178073896277<287>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:59:24 UTC 2021 年 5 月 14 日 (金) 1 時 59 分 24 秒 (日本時間)
403e6610 / 2104Marlon TrifunovicMarch 11, 2022 02:22:01 UTC 2022 年 3 月 11 日 (金) 11 時 22 分 1 秒 (日本時間)

16×10299+173

c249

name 名前Marlon Trifunovic
date 日付April 15, 2022 00:38:03 UTC 2022 年 4 月 15 日 (金) 9 時 38 分 3 秒 (日本時間)
composite number 合成数
167931902173363793625506253363202482828519442866361910317929536307324489500599265488023165038158045554855805172623254691901404150819372672256468572408019667904688124852569122007909481857163403558865223656423313993097929810005984976944635656035008297<249>
prime factors 素因数
794928774008860147209986121945446180357<39>
211254023837225008885647058614901287693273548168250184640392945839786278406006014007342647455698407055997468334359107069591489998296965761832464431875088967438433142609777549750715280549635113889690386323454421<210>
factorization results 素因数分解の結果
Run 417 out of 610:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1:3136361455
Step 1 took 24713ms
Step 2 took 9656ms
********** Factor found in step 2: 794928774008860147209986121945446180357
Found prime factor of 39 digits: 794928774008860147209986121945446180357
Prime cofactor 211254023837225008885647058614901287693273548168250184640392945839786278406006014007342647455698407055997468334359107069591489998296965761832464431875088967438433142609777549750715280549635113889690386323454421 has 210 digits
software ソフトウェア
GMP-ECM 7.0.5-dev
execution environment 実行環境
Intel Xeon CPU E5-2695 v4 @ 2.10GHz

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e6904Ignacio SantosMay 13, 2021 16:59:33 UTC 2021 年 5 月 14 日 (金) 1 時 59 分 33 秒 (日本時間)

16×10300+173

c290

composite cofactor 合成数の残り
78716789032856621841125138357525449391522276709362548098768718926308949761838397540513629480689774586491885641248222381869162241827538099760498957824119821484656997556037437307009695640032058175296108560207605407701505769580115674519554903209721008098547513040004254017042337034364652285989<290>

ECM

level レベルB1reported runs 報告された回数name 名前date 日付
2011e374Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
255e4214Makoto KamadaJanuary 9, 2021 08:00:00 UTC 2021 年 1 月 9 日 (土) 17 時 0 分 0 秒 (日本時間)
3025e40--
351e60--
403e61200Dmitry DomanovJanuary 18, 2021 23:32:53 UTC 2021 年 1 月 19 日 (火) 8 時 32 分 53 秒 (日本時間)
4511e62000Dmitry DomanovApril 14, 2021 20:21:14 UTC 2021 年 4 月 15 日 (木) 5 時 21 分 14 秒 (日本時間)
5043e6640 / 7059Dmitry DomanovMay 2, 2021 19:11:57 UTC 2021 年 5 月 3 日 (月) 4 時 11 分 57 秒 (日本時間)